LCM for 75 and 150

The first method to find LCM for numbers 75 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 150 is 75, so

LCM = (75 × 150) ÷ 75

LCM = 11250 ÷ 75

LCM = 150

The second method to find LCM for numbers 75 and 150 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 75: 75, 150, 225, 300

Multiples of 150: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350, 1500, 1650, 1800, 1950, 2100, 2250, 2400, 2550, 2700, 2850, 3000, 3150, 3300, 3450, 3600, 3750, 3900, 4050, 4200, 4350, 4500, 4650, 4800, 4950, 5100, 5250, 5400, 5550, 5700, 5850, 6000, 6150, 6300, 6450, 6600, 6750, 6900, 7050, 7200, 7350, 7500, 7650, 7800, 7950, 8100, 8250, 8400, 8550, 8700, 8850, 9000, 9150, 9300, 9450, 9600, 9750, 9900, 10050, 10200, 10350, 10500, 10650, 10800, 10950, 11100, 11250, 11400, 11550, 11700, 11850, 12000, 12150, 12300, 12450, 12600, 12750, 12900, 13050, 13200, 13350, 13500, 13650, 13800, 13950, 14100, 14250, 14400, 14550, 14700, 14850, 15000, 15150, 15300, 15450, 15600, 15750, 15900, 16050, 16200, 16350, 16500, 16650, 16800, 16950, 17100, 17250, 17400, 17550, 17700, 17850, 18000, 18150, 18300, 18450, 18600, 18750, 18900, 19050, 19200, 19350, 19500, 19650, 19800, 19950, 20100, 20250, 20400, 20550, 20700, 20850, 21000, 21150, 21300, 21450, 21600, 21750, 21900, 22050, 22200, 22350, 22500, 22650, 22800, 22950, 23100, 23250, 23400, 23550, 23700, 23850, 24000, 24150, 24300, 24450, 24600, 24750, 24900, 25050, 25200, 25350, 25500, 25650, 25800, 25950, 26100, 26250, 26400, 26550, 26700, 26850, 27000, 27150, 27300, 27450, 27600, 27750, 27900, 28050, 28200, 28350, 28500, 28650, 28800, 28950, 29100, 29250, 29400, 29550, 29700, 29850, 30000, 30150, 30300, 30450, 30600, 30750, 30900, 31050, 31200, 31350, 31500, 31650, 31800, 31950, 32100, 32250, 32400, 32550, 32700, 32850, 33000, 33150, 33300, 33450, 33600, 33750, 33900, 34050, 34200, 34350, 34500, 34650, 34800, 34950, 35100, 35250, 35400, 35550, 35700, 35850, 36000, 36150, 36300, 36450, 36600, 36750, 36900, 37050, 37200, 37350, 37500, 37650, 37800, 37950, 38100, 38250, 38400, 38550, 38700, 38850, 39000, 39150, 39300, 39450, 39600, 39750, 39900, 40050, 40200, 40350, 40500, 40650, 40800, 40950, 41100, 41250, 41400, 41550, 41700, 41850, 42000, 42150, 42300, 42450, 42600, 42750, 42900, 43050, 43200, 43350, 43500, 43650, 43800, 43950, 44100, 44250, 44400, 44550, 44700, 44850, 45000, 45150, 45300, 45450, 45600, 45750, 45900, 46050, 46200, 46350, 46500, 46650, 46800, 46950, 47100, 47250, 47400, 47550, 47700, 47850, 48000, 48150, 48300, 48450, 48600, 48750, 48900, 49050, 49200, 49350, 49500, 49650, 49800, 49950, 50100, 50250, 50400, 50550, 50700, 50850, 51000, 51150, 51300, 51450, 51600, 51750, 51900, 52050, 52200, 52350, 52500, 52650, 52800, 52950, 53100, 53250, 53400, 53550, 53700, 53850, 54000, 54150, 54300, 54450, 54600, 54750, 54900, 55050, 55200, 55350, 55500, 55650, 55800, 55950, 56100, 56250, 56400, 56550, 56700, 56850, 57000, 57150, 57300, 57450, 57600, 57750, 57900, 58050, 58200, 58350, 58500, 58650, 58800, 58950, 59100, 59250, 59400, 59550, 59700, 59850, 60000, 60150, 60300, 60450, 60600, 60750, 60900, 61050, 61200, 61350, 61500, 61650, 61800, 61950, 62100, 62250, 62400, 62550, 62700, 62850, 63000, 63150, 63300, 63450, 63600, 63750, 63900, 64050, 64200, 64350, 64500, 64650, 64800, 64950, 65100, 65250, 65400, 65550, 65700, 65850, 66000, 66150, 66300, 66450, 66600, 66750, 66900, 67050, 67200, 67350, 67500, 67650, 67800, 67950, 68100, 68250, 68400, 68550, 68700, 68850, 69000, 69150, 69300, 69450, 69600, 69750, 69900, 70050, 70200, 70350, 70500, 70650, 70800, 70950, 71100, 71250, 71400, 71550, 71700, 71850, 72000, 72150, 72300, 72450, 72600, 72750, 72900, 73050, 73200, 73350, 73500, 73650, 73800, 73950, 74100, 74250, 74400, 74550, 74700, 74850, 75000, 75150, 75300, 75450, 75600, 75750, 75900, 76050, 76200, 76350, 76500, 76650, 76800, 76950, 77100, 77250, 77400, 77550, 77700, 77850, 78000, 78150, 78300, 78450, 78600, 78750, 78900, 79050, 79200, 79350, 79500, 79650, 79800, 79950, 80100, 80250, 80400, 80550, 80700, 80850, 81000, 81150, 81300, 81450, 81600, 81750, 81900, 82050, 82200, 82350, 82500, 82650, 82800, 82950, 83100, 83250, 83400, 83550, 83700, 83850, 84000, 84150, 84300, 84450, 84600, 84750, 84900, 85050, 85200, 85350, 85500, 85650, 85800, 85950, 86100, 86250, 86400, 86550, 86700, 86850, 87000, 87150, 87300, 87450, 87600, 87750, 87900, 88050, 88200, 88350, 88500, 88650, 88800, 88950, 89100, 89250, 89400, 89550, 89700, 89850, 90000, 90150, 90300, 90450, 90600, 90750, 90900, 91050, 91200, 91350, 91500, 91650, 91800, 91950, 92100, 92250, 92400, 92550, 92700, 92850, 93000, 93150, 93300, 93450, 93600, 93750, 93900, 94050, 94200, 94350, 94500, 94650, 94800, 94950, 95100, 95250, 95400, 95550, 95700, 95850, 96000, 96150, 96300, 96450, 96600, 96750, 96900, 97050, 97200, 97350, 97500, 97650, 97800, 97950, 98100, 98250, 98400, 98550, 98700, 98850, 99000, 99150, 99300, 99450, 99600, 99750, 99900, 100050, 100200, 100350, 100500, 100650, 100800, 100950, 101100, 101250, 101400, 101550, 101700, 101850, 102000, 102150, 102300, 102450, 102600, 102750, 102900, 103050, 103200, 103350, 103500, 103650, 103800, 103950, 104100, 104250, 104400, 104550, 104700, 104850, 105000, 105150, 105300, 105450, 105600, 105750, 105900, 106050, 106200, 106350, 106500, 106650, 106800, 106950, 107100, 107250, 107400, 107550, 107700, 107850, 108000, 108150, 108300, 108450, 108600, 108750, 108900, 109050, 109200, 109350, 109500, 109650, 109800, 109950, 110100, 110250, 110400, 110550, 110700, 110850, 111000, 111150, 111300, 111450, 111600, 111750, 111900, 112050, 112200, 112350, 112500, 112650, 112800, 112950, 113100, 113250, 113400, 113550, 113700, 113850, 114000, 114150, 114300, 114450, 114600, 114750, 114900, 115050, 115200, 115350, 115500, 115650, 115800, 115950, 116100, 116250, 116400, 116550, 116700, 116850, 117000, 117150, 117300, 117450, 117600, 117750, 117900, 118050, 118200, 118350, 118500, 118650, 118800, 118950, 119100, 119250, 119400, 119550, 119700, 119850, 120000, 120150, 120300, 120450, 120600, 120750, 120900, 121050, 121200, 121350, 121500, 121650, 121800, 121950, 122100, 122250, 122400, 122550, 122700, 122850, 123000, 123150, 123300, 123450, 123600, 123750, 123900, 124050, 124200, 124350, 124500, 124650, 124800, 124950, 125100, 125250, 125400, 125550, 125700, 125850, 126000, 126150, 126300, 126450, 126600, 126750, 126900, 127050, 127200, 127350, 127500, 127650, 127800, 127950, 128100, 128250, 128400, 128550, 128700, 128850, 129000, 129150, 129300, 129450, 129600, 129750, 129900, 130050, 130200, 130350, 130500, 130650, 130800, 130950, 131100, 131250, 131400, 131550, 131700, 131850, 132000, 132150, 132300, 132450, 132600, 132750, 132900, 133050, 133200, 133350, 133500, 133650, 133800, 133950, 134100, 134250, 134400, 134550, 134700, 134850, 135000, 135150, 135300, 135450, 135600, 135750, 135900, 136050, 136200, 136350, 136500, 136650, 136800, 136950, 137100, 137250, 137400, 137550, 137700, 137850, 138000, 138150, 138300, 138450, 138600, 138750, 138900, 139050, 139200, 139350, 139500, 139650, 139800, 139950, 140100, 140250, 140400, 140550, 140700, 140850, 141000, 141150, 141300, 141450, 141600, 141750, 141900, 142050, 142200, 142350, 142500, 142650, 142800, 142950, 143100, 143250, 143400, 143550, 143700, 143850, 144000, 144150, 144300, 144450, 144600, 144750, 144900, 145050, 145200, 145350, 145500, 145650, 145800, 145950, 146100, 146250, 146400, 146550, 146700, 146850, 147000, 147150, 147300, 147450, 147600, 147750, 147900, 148050, 148200, 148350, 148500, 148650, 148800, 148950, 149100, 149250, 149400, 149550, 149700, 149850, 150000, [...], 150

So the LCM for 75 and 150 is 150

Another method to find LCM for numbers 75 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: