LCM for 75 and 150

What's the Least Common Multiple (LCM) of 75 and 150?

Answer: LCM of 75 and 150 is 150

(One hundred fifty)

Finding LCM for 75 and 150 using GCF's of these numbers

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

Finding LCM for 75 and 150 by Listing Multiples

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

Finding LCM for 75 and 150 by Prime Factorization

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:

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

31 × 52 × 21 = 150

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 75 and 150? (The answer is: 150). Select the first number (e.g. '75') and the second number (e.g. '150'). 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
60150
611509150
621504650
631503150
641504800
651501950
661501650
6715010050
681505100
691503450
701501050
7115010650
721501800
7315010950
741505550
75150
761505700
7715011550
781501950
7915011850
801501200
811504050
821506150
8315012450
841502100
851502550
861506450
871504350
881506600
8915013350

FAQ

What's the Least Common Multiple (LCM) of 75 and 150?

LCM of 75 and 150 is 150