LCM for 100 and 200
What's the Least Common Multiple (LCM) of 100 and 200?
(Two hundred)
Finding LCM for 100 and 200 using GCF's of these numbers
The first method to find LCM for numbers 100 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 100 and 200 is 100, so
LCM = (100 × 200) ÷ 100
LCM = 20000 ÷ 100
LCM = 200
Finding LCM for 100 and 200 by Listing Multiples
The second method to find LCM for numbers 100 and 200 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 100: 100, 200, 300, 400
Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800, 3000, 3200, 3400, 3600, 3800, 4000, 4200, 4400, 4600, 4800, 5000, 5200, 5400, 5600, 5800, 6000, 6200, 6400, 6600, 6800, 7000, 7200, 7400, 7600, 7800, 8000, 8200, 8400, 8600, 8800, 9000, 9200, 9400, 9600, 9800, 10000, 10200, 10400, 10600, 10800, 11000, 11200, 11400, 11600, 11800, 12000, 12200, 12400, 12600, 12800, 13000, 13200, 13400, 13600, 13800, 14000, 14200, 14400, 14600, 14800, 15000, 15200, 15400, 15600, 15800, 16000, 16200, 16400, 16600, 16800, 17000, 17200, 17400, 17600, 17800, 18000, 18200, 18400, 18600, 18800, 19000, 19200, 19400, 19600, 19800, 20000, 20200, 20400, 20600, 20800, 21000, 21200, 21400, 21600, 21800, 22000, 22200, 22400, 22600, 22800, 23000, 23200, 23400, 23600, 23800, 24000, 24200, 24400, 24600, 24800, 25000, 25200, 25400, 25600, 25800, 26000, 26200, 26400, 26600, 26800, 27000, 27200, 27400, 27600, 27800, 28000, 28200, 28400, 28600, 28800, 29000, 29200, 29400, 29600, 29800, 30000, 30200, 30400, 30600, 30800, 31000, 31200, 31400, 31600, 31800, 32000, 32200, 32400, 32600, 32800, 33000, 33200, 33400, 33600, 33800, 34000, 34200, 34400, 34600, 34800, 35000, 35200, 35400, 35600, 35800, 36000, 36200, 36400, 36600, 36800, 37000, 37200, 37400, 37600, 37800, 38000, 38200, 38400, 38600, 38800, 39000, 39200, 39400, 39600, 39800, 40000, 40200, 40400, 40600, 40800, 41000, 41200, 41400, 41600, 41800, 42000, 42200, 42400, 42600, 42800, 43000, 43200, 43400, 43600, 43800, 44000, 44200, 44400, 44600, 44800, 45000, 45200, 45400, 45600, 45800, 46000, 46200, 46400, 46600, 46800, 47000, 47200, 47400, 47600, 47800, 48000, 48200, 48400, 48600, 48800, 49000, 49200, 49400, 49600, 49800, 50000, 50200, 50400, 50600, 50800, 51000, 51200, 51400, 51600, 51800, 52000, 52200, 52400, 52600, 52800, 53000, 53200, 53400, 53600, 53800, 54000, 54200, 54400, 54600, 54800, 55000, 55200, 55400, 55600, 55800, 56000, 56200, 56400, 56600, 56800, 57000, 57200, 57400, 57600, 57800, 58000, 58200, 58400, 58600, 58800, 59000, 59200, 59400, 59600, 59800, 60000, 60200, 60400, 60600, 60800, 61000, 61200, 61400, 61600, 61800, 62000, 62200, 62400, 62600, 62800, 63000, 63200, 63400, 63600, 63800, 64000, 64200, 64400, 64600, 64800, 65000, 65200, 65400, 65600, 65800, 66000, 66200, 66400, 66600, 66800, 67000, 67200, 67400, 67600, 67800, 68000, 68200, 68400, 68600, 68800, 69000, 69200, 69400, 69600, 69800, 70000, 70200, 70400, 70600, 70800, 71000, 71200, 71400, 71600, 71800, 72000, 72200, 72400, 72600, 72800, 73000, 73200, 73400, 73600, 73800, 74000, 74200, 74400, 74600, 74800, 75000, 75200, 75400, 75600, 75800, 76000, 76200, 76400, 76600, 76800, 77000, 77200, 77400, 77600, 77800, 78000, 78200, 78400, 78600, 78800, 79000, 79200, 79400, 79600, 79800, 80000, 80200, 80400, 80600, 80800, 81000, 81200, 81400, 81600, 81800, 82000, 82200, 82400, 82600, 82800, 83000, 83200, 83400, 83600, 83800, 84000, 84200, 84400, 84600, 84800, 85000, 85200, 85400, 85600, 85800, 86000, 86200, 86400, 86600, 86800, 87000, 87200, 87400, 87600, 87800, 88000, 88200, 88400, 88600, 88800, 89000, 89200, 89400, 89600, 89800, 90000, 90200, 90400, 90600, 90800, 91000, 91200, 91400, 91600, 91800, 92000, 92200, 92400, 92600, 92800, 93000, 93200, 93400, 93600, 93800, 94000, 94200, 94400, 94600, 94800, 95000, 95200, 95400, 95600, 95800, 96000, 96200, 96400, 96600, 96800, 97000, 97200, 97400, 97600, 97800, 98000, 98200, 98400, 98600, 98800, 99000, 99200, 99400, 99600, 99800, 100000, 100200, 100400, 100600, 100800, 101000, 101200, 101400, 101600, 101800, 102000, 102200, 102400, 102600, 102800, 103000, 103200, 103400, 103600, 103800, 104000, 104200, 104400, 104600, 104800, 105000, 105200, 105400, 105600, 105800, 106000, 106200, 106400, 106600, 106800, 107000, 107200, 107400, 107600, 107800, 108000, 108200, 108400, 108600, 108800, 109000, 109200, 109400, 109600, 109800, 110000, 110200, 110400, 110600, 110800, 111000, 111200, 111400, 111600, 111800, 112000, 112200, 112400, 112600, 112800, 113000, 113200, 113400, 113600, 113800, 114000, 114200, 114400, 114600, 114800, 115000, 115200, 115400, 115600, 115800, 116000, 116200, 116400, 116600, 116800, 117000, 117200, 117400, 117600, 117800, 118000, 118200, 118400, 118600, 118800, 119000, 119200, 119400, 119600, 119800, 120000, 120200, 120400, 120600, 120800, 121000, 121200, 121400, 121600, 121800, 122000, 122200, 122400, 122600, 122800, 123000, 123200, 123400, 123600, 123800, 124000, 124200, 124400, 124600, 124800, 125000, 125200, 125400, 125600, 125800, 126000, 126200, 126400, 126600, 126800, 127000, 127200, 127400, 127600, 127800, 128000, 128200, 128400, 128600, 128800, 129000, 129200, 129400, 129600, 129800, 130000, 130200, 130400, 130600, 130800, 131000, 131200, 131400, 131600, 131800, 132000, 132200, 132400, 132600, 132800, 133000, 133200, 133400, 133600, 133800, 134000, 134200, 134400, 134600, 134800, 135000, 135200, 135400, 135600, 135800, 136000, 136200, 136400, 136600, 136800, 137000, 137200, 137400, 137600, 137800, 138000, 138200, 138400, 138600, 138800, 139000, 139200, 139400, 139600, 139800, 140000, 140200, 140400, 140600, 140800, 141000, 141200, 141400, 141600, 141800, 142000, 142200, 142400, 142600, 142800, 143000, 143200, 143400, 143600, 143800, 144000, 144200, 144400, 144600, 144800, 145000, 145200, 145400, 145600, 145800, 146000, 146200, 146400, 146600, 146800, 147000, 147200, 147400, 147600, 147800, 148000, 148200, 148400, 148600, 148800, 149000, 149200, 149400, 149600, 149800, 150000, 150200, 150400, 150600, 150800, 151000, 151200, 151400, 151600, 151800, 152000, 152200, 152400, 152600, 152800, 153000, 153200, 153400, 153600, 153800, 154000, 154200, 154400, 154600, 154800, 155000, 155200, 155400, 155600, 155800, 156000, 156200, 156400, 156600, 156800, 157000, 157200, 157400, 157600, 157800, 158000, 158200, 158400, 158600, 158800, 159000, 159200, 159400, 159600, 159800, 160000, 160200, 160400, 160600, 160800, 161000, 161200, 161400, 161600, 161800, 162000, 162200, 162400, 162600, 162800, 163000, 163200, 163400, 163600, 163800, 164000, 164200, 164400, 164600, 164800, 165000, 165200, 165400, 165600, 165800, 166000, 166200, 166400, 166600, 166800, 167000, 167200, 167400, 167600, 167800, 168000, 168200, 168400, 168600, 168800, 169000, 169200, 169400, 169600, 169800, 170000, 170200, 170400, 170600, 170800, 171000, 171200, 171400, 171600, 171800, 172000, 172200, 172400, 172600, 172800, 173000, 173200, 173400, 173600, 173800, 174000, 174200, 174400, 174600, 174800, 175000, 175200, 175400, 175600, 175800, 176000, 176200, 176400, 176600, 176800, 177000, 177200, 177400, 177600, 177800, 178000, 178200, 178400, 178600, 178800, 179000, 179200, 179400, 179600, 179800, 180000, 180200, 180400, 180600, 180800, 181000, 181200, 181400, 181600, 181800, 182000, 182200, 182400, 182600, 182800, 183000, 183200, 183400, 183600, 183800, 184000, 184200, 184400, 184600, 184800, 185000, 185200, 185400, 185600, 185800, 186000, 186200, 186400, 186600, 186800, 187000, 187200, 187400, 187600, 187800, 188000, 188200, 188400, 188600, 188800, 189000, 189200, 189400, 189600, 189800, 190000, 190200, 190400, 190600, 190800, 191000, 191200, 191400, 191600, 191800, 192000, 192200, 192400, 192600, 192800, 193000, 193200, 193400, 193600, 193800, 194000, 194200, 194400, 194600, 194800, 195000, 195200, 195400, 195600, 195800, 196000, 196200, 196400, 196600, 196800, 197000, 197200, 197400, 197600, 197800, 198000, 198200, 198400, 198600, 198800, 199000, 199200, 199400, 199600, 199800, 200000, [...], 200
So the LCM for 100 and 200 is 200
Finding LCM for 100 and 200 by Prime Factorization
Another method to find LCM for numbers 100 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)
23 × 52 = 200
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
85 | 200 | 3400 |
86 | 200 | 8600 |
87 | 200 | 17400 |
88 | 200 | 2200 |
89 | 200 | 17800 |
90 | 200 | 1800 |
91 | 200 | 18200 |
92 | 200 | 4600 |
93 | 200 | 18600 |
94 | 200 | 9400 |
95 | 200 | 3800 |
96 | 200 | 2400 |
97 | 200 | 19400 |
98 | 200 | 9800 |
99 | 200 | 19800 |
100 | 200 | 200 |
101 | 200 | 20200 |
102 | 200 | 10200 |
103 | 200 | 20600 |
104 | 200 | 2600 |
105 | 200 | 4200 |
106 | 200 | 10600 |
107 | 200 | 21400 |
108 | 200 | 5400 |
109 | 200 | 21800 |
110 | 200 | 2200 |
111 | 200 | 22200 |
112 | 200 | 2800 |
113 | 200 | 22600 |
114 | 200 | 11400 |
About "Least Common Multiple" Calculator
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