LCM for 126 and 252

What's the Least Common Multiple (LCM) of 126 and 252?

Answer: LCM of 126 and 252 is 252

(Two hundred fifty-two)

Finding LCM for 126 and 252 using GCF's of these numbers

The first method to find LCM for numbers 126 and 252 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 126 and 252 is 126, so

LCM = (126 × 252) ÷ 126

LCM = 31752 ÷ 126

LCM = 252

Finding LCM for 126 and 252 by Listing Multiples

The second method to find LCM for numbers 126 and 252 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 126: 126, 252, 378, 504

Multiples of 252: 252, 504, 756, 1008, 1260, 1512, 1764, 2016, 2268, 2520, 2772, 3024, 3276, 3528, 3780, 4032, 4284, 4536, 4788, 5040, 5292, 5544, 5796, 6048, 6300, 6552, 6804, 7056, 7308, 7560, 7812, 8064, 8316, 8568, 8820, 9072, 9324, 9576, 9828, 10080, 10332, 10584, 10836, 11088, 11340, 11592, 11844, 12096, 12348, 12600, 12852, 13104, 13356, 13608, 13860, 14112, 14364, 14616, 14868, 15120, 15372, 15624, 15876, 16128, 16380, 16632, 16884, 17136, 17388, 17640, 17892, 18144, 18396, 18648, 18900, 19152, 19404, 19656, 19908, 20160, 20412, 20664, 20916, 21168, 21420, 21672, 21924, 22176, 22428, 22680, 22932, 23184, 23436, 23688, 23940, 24192, 24444, 24696, 24948, 25200, 25452, 25704, 25956, 26208, 26460, 26712, 26964, 27216, 27468, 27720, 27972, 28224, 28476, 28728, 28980, 29232, 29484, 29736, 29988, 30240, 30492, 30744, 30996, 31248, 31500, 31752, 32004, 32256, 32508, 32760, 33012, 33264, 33516, 33768, 34020, 34272, 34524, 34776, 35028, 35280, 35532, 35784, 36036, 36288, 36540, 36792, 37044, 37296, 37548, 37800, 38052, 38304, 38556, 38808, 39060, 39312, 39564, 39816, 40068, 40320, 40572, 40824, 41076, 41328, 41580, 41832, 42084, 42336, 42588, 42840, 43092, 43344, 43596, 43848, 44100, 44352, 44604, 44856, 45108, 45360, 45612, 45864, 46116, 46368, 46620, 46872, 47124, 47376, 47628, 47880, 48132, 48384, 48636, 48888, 49140, 49392, 49644, 49896, 50148, 50400, 50652, 50904, 51156, 51408, 51660, 51912, 52164, 52416, 52668, 52920, 53172, 53424, 53676, 53928, 54180, 54432, 54684, 54936, 55188, 55440, 55692, 55944, 56196, 56448, 56700, 56952, 57204, 57456, 57708, 57960, 58212, 58464, 58716, 58968, 59220, 59472, 59724, 59976, 60228, 60480, 60732, 60984, 61236, 61488, 61740, 61992, 62244, 62496, 62748, 63000, 63252, 63504, 63756, 64008, 64260, 64512, 64764, 65016, 65268, 65520, 65772, 66024, 66276, 66528, 66780, 67032, 67284, 67536, 67788, 68040, 68292, 68544, 68796, 69048, 69300, 69552, 69804, 70056, 70308, 70560, 70812, 71064, 71316, 71568, 71820, 72072, 72324, 72576, 72828, 73080, 73332, 73584, 73836, 74088, 74340, 74592, 74844, 75096, 75348, 75600, 75852, 76104, 76356, 76608, 76860, 77112, 77364, 77616, 77868, 78120, 78372, 78624, 78876, 79128, 79380, 79632, 79884, 80136, 80388, 80640, 80892, 81144, 81396, 81648, 81900, 82152, 82404, 82656, 82908, 83160, 83412, 83664, 83916, 84168, 84420, 84672, 84924, 85176, 85428, 85680, 85932, 86184, 86436, 86688, 86940, 87192, 87444, 87696, 87948, 88200, 88452, 88704, 88956, 89208, 89460, 89712, 89964, 90216, 90468, 90720, 90972, 91224, 91476, 91728, 91980, 92232, 92484, 92736, 92988, 93240, 93492, 93744, 93996, 94248, 94500, 94752, 95004, 95256, 95508, 95760, 96012, 96264, 96516, 96768, 97020, 97272, 97524, 97776, 98028, 98280, 98532, 98784, 99036, 99288, 99540, 99792, 100044, 100296, 100548, 100800, 101052, 101304, 101556, 101808, 102060, 102312, 102564, 102816, 103068, 103320, 103572, 103824, 104076, 104328, 104580, 104832, 105084, 105336, 105588, 105840, 106092, 106344, 106596, 106848, 107100, 107352, 107604, 107856, 108108, 108360, 108612, 108864, 109116, 109368, 109620, 109872, 110124, 110376, 110628, 110880, 111132, 111384, 111636, 111888, 112140, 112392, 112644, 112896, 113148, 113400, 113652, 113904, 114156, 114408, 114660, 114912, 115164, 115416, 115668, 115920, 116172, 116424, 116676, 116928, 117180, 117432, 117684, 117936, 118188, 118440, 118692, 118944, 119196, 119448, 119700, 119952, 120204, 120456, 120708, 120960, 121212, 121464, 121716, 121968, 122220, 122472, 122724, 122976, 123228, 123480, 123732, 123984, 124236, 124488, 124740, 124992, 125244, 125496, 125748, 126000, 126252, 126504, 126756, 127008, 127260, 127512, 127764, 128016, 128268, 128520, 128772, 129024, 129276, 129528, 129780, 130032, 130284, 130536, 130788, 131040, 131292, 131544, 131796, 132048, 132300, 132552, 132804, 133056, 133308, 133560, 133812, 134064, 134316, 134568, 134820, 135072, 135324, 135576, 135828, 136080, 136332, 136584, 136836, 137088, 137340, 137592, 137844, 138096, 138348, 138600, 138852, 139104, 139356, 139608, 139860, 140112, 140364, 140616, 140868, 141120, 141372, 141624, 141876, 142128, 142380, 142632, 142884, 143136, 143388, 143640, 143892, 144144, 144396, 144648, 144900, 145152, 145404, 145656, 145908, 146160, 146412, 146664, 146916, 147168, 147420, 147672, 147924, 148176, 148428, 148680, 148932, 149184, 149436, 149688, 149940, 150192, 150444, 150696, 150948, 151200, 151452, 151704, 151956, 152208, 152460, 152712, 152964, 153216, 153468, 153720, 153972, 154224, 154476, 154728, 154980, 155232, 155484, 155736, 155988, 156240, 156492, 156744, 156996, 157248, 157500, 157752, 158004, 158256, 158508, 158760, 159012, 159264, 159516, 159768, 160020, 160272, 160524, 160776, 161028, 161280, 161532, 161784, 162036, 162288, 162540, 162792, 163044, 163296, 163548, 163800, 164052, 164304, 164556, 164808, 165060, 165312, 165564, 165816, 166068, 166320, 166572, 166824, 167076, 167328, 167580, 167832, 168084, 168336, 168588, 168840, 169092, 169344, 169596, 169848, 170100, 170352, 170604, 170856, 171108, 171360, 171612, 171864, 172116, 172368, 172620, 172872, 173124, 173376, 173628, 173880, 174132, 174384, 174636, 174888, 175140, 175392, 175644, 175896, 176148, 176400, 176652, 176904, 177156, 177408, 177660, 177912, 178164, 178416, 178668, 178920, 179172, 179424, 179676, 179928, 180180, 180432, 180684, 180936, 181188, 181440, 181692, 181944, 182196, 182448, 182700, 182952, 183204, 183456, 183708, 183960, 184212, 184464, 184716, 184968, 185220, 185472, 185724, 185976, 186228, 186480, 186732, 186984, 187236, 187488, 187740, 187992, 188244, 188496, 188748, 189000, 189252, 189504, 189756, 190008, 190260, 190512, 190764, 191016, 191268, 191520, 191772, 192024, 192276, 192528, 192780, 193032, 193284, 193536, 193788, 194040, 194292, 194544, 194796, 195048, 195300, 195552, 195804, 196056, 196308, 196560, 196812, 197064, 197316, 197568, 197820, 198072, 198324, 198576, 198828, 199080, 199332, 199584, 199836, 200088, 200340, 200592, 200844, 201096, 201348, 201600, 201852, 202104, 202356, 202608, 202860, 203112, 203364, 203616, 203868, 204120, 204372, 204624, 204876, 205128, 205380, 205632, 205884, 206136, 206388, 206640, 206892, 207144, 207396, 207648, 207900, 208152, 208404, 208656, 208908, 209160, 209412, 209664, 209916, 210168, 210420, 210672, 210924, 211176, 211428, 211680, 211932, 212184, 212436, 212688, 212940, 213192, 213444, 213696, 213948, 214200, 214452, 214704, 214956, 215208, 215460, 215712, 215964, 216216, 216468, 216720, 216972, 217224, 217476, 217728, 217980, 218232, 218484, 218736, 218988, 219240, 219492, 219744, 219996, 220248, 220500, 220752, 221004, 221256, 221508, 221760, 222012, 222264, 222516, 222768, 223020, 223272, 223524, 223776, 224028, 224280, 224532, 224784, 225036, 225288, 225540, 225792, 226044, 226296, 226548, 226800, 227052, 227304, 227556, 227808, 228060, 228312, 228564, 228816, 229068, 229320, 229572, 229824, 230076, 230328, 230580, 230832, 231084, 231336, 231588, 231840, 232092, 232344, 232596, 232848, 233100, 233352, 233604, 233856, 234108, 234360, 234612, 234864, 235116, 235368, 235620, 235872, 236124, 236376, 236628, 236880, 237132, 237384, 237636, 237888, 238140, 238392, 238644, 238896, 239148, 239400, 239652, 239904, 240156, 240408, 240660, 240912, 241164, 241416, 241668, 241920, 242172, 242424, 242676, 242928, 243180, 243432, 243684, 243936, 244188, 244440, 244692, 244944, 245196, 245448, 245700, 245952, 246204, 246456, 246708, 246960, 247212, 247464, 247716, 247968, 248220, 248472, 248724, 248976, 249228, 249480, 249732, 249984, 250236, 250488, 250740, 250992, 251244, 251496, 251748, 252000, [...], 252

So the LCM for 126 and 252 is 252

Finding LCM for 126 and 252 by Prime Factorization

Another method to find LCM for numbers 126 and 252 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)

22 × 32 × 71 = 252

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 126 and 252? (The answer is: 252). Select the first number (e.g. '126') and the second number (e.g. '252'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

LCM Table

Number 1Number 2LCM
1112529324
1122521008
11325228476
1142524788
11525228980
1162527308
1172523276
11825214868
1192524284
1202522520
12125230492
12225215372
12325210332
1242527812
12525231500
126252
12725232004
1282528064
12925210836
13025216380
13125233012
1322522772
1332524788
13425216884
1352523780
1362528568
13725234524
1382525796
13925235028
1402521260

FAQ

What's the Least Common Multiple (LCM) of 126 and 252?

LCM of 126 and 252 is 252