LCM for 100 and 200

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

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

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: