LCM for 90 and 180

The first method to find LCM for numbers 90 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 180 is 90, so

LCM = (90 × 180) ÷ 90

LCM = 16200 ÷ 90

LCM = 180

The second method to find LCM for numbers 90 and 180 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 90: 90, 180, 270, 360

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920, 8100, 8280, 8460, 8640, 8820, 9000, 9180, 9360, 9540, 9720, 9900, 10080, 10260, 10440, 10620, 10800, 10980, 11160, 11340, 11520, 11700, 11880, 12060, 12240, 12420, 12600, 12780, 12960, 13140, 13320, 13500, 13680, 13860, 14040, 14220, 14400, 14580, 14760, 14940, 15120, 15300, 15480, 15660, 15840, 16020, 16200, 16380, 16560, 16740, 16920, 17100, 17280, 17460, 17640, 17820, 18000, 18180, 18360, 18540, 18720, 18900, 19080, 19260, 19440, 19620, 19800, 19980, 20160, 20340, 20520, 20700, 20880, 21060, 21240, 21420, 21600, 21780, 21960, 22140, 22320, 22500, 22680, 22860, 23040, 23220, 23400, 23580, 23760, 23940, 24120, 24300, 24480, 24660, 24840, 25020, 25200, 25380, 25560, 25740, 25920, 26100, 26280, 26460, 26640, 26820, 27000, 27180, 27360, 27540, 27720, 27900, 28080, 28260, 28440, 28620, 28800, 28980, 29160, 29340, 29520, 29700, 29880, 30060, 30240, 30420, 30600, 30780, 30960, 31140, 31320, 31500, 31680, 31860, 32040, 32220, 32400, 32580, 32760, 32940, 33120, 33300, 33480, 33660, 33840, 34020, 34200, 34380, 34560, 34740, 34920, 35100, 35280, 35460, 35640, 35820, 36000, 36180, 36360, 36540, 36720, 36900, 37080, 37260, 37440, 37620, 37800, 37980, 38160, 38340, 38520, 38700, 38880, 39060, 39240, 39420, 39600, 39780, 39960, 40140, 40320, 40500, 40680, 40860, 41040, 41220, 41400, 41580, 41760, 41940, 42120, 42300, 42480, 42660, 42840, 43020, 43200, 43380, 43560, 43740, 43920, 44100, 44280, 44460, 44640, 44820, 45000, 45180, 45360, 45540, 45720, 45900, 46080, 46260, 46440, 46620, 46800, 46980, 47160, 47340, 47520, 47700, 47880, 48060, 48240, 48420, 48600, 48780, 48960, 49140, 49320, 49500, 49680, 49860, 50040, 50220, 50400, 50580, 50760, 50940, 51120, 51300, 51480, 51660, 51840, 52020, 52200, 52380, 52560, 52740, 52920, 53100, 53280, 53460, 53640, 53820, 54000, 54180, 54360, 54540, 54720, 54900, 55080, 55260, 55440, 55620, 55800, 55980, 56160, 56340, 56520, 56700, 56880, 57060, 57240, 57420, 57600, 57780, 57960, 58140, 58320, 58500, 58680, 58860, 59040, 59220, 59400, 59580, 59760, 59940, 60120, 60300, 60480, 60660, 60840, 61020, 61200, 61380, 61560, 61740, 61920, 62100, 62280, 62460, 62640, 62820, 63000, 63180, 63360, 63540, 63720, 63900, 64080, 64260, 64440, 64620, 64800, 64980, 65160, 65340, 65520, 65700, 65880, 66060, 66240, 66420, 66600, 66780, 66960, 67140, 67320, 67500, 67680, 67860, 68040, 68220, 68400, 68580, 68760, 68940, 69120, 69300, 69480, 69660, 69840, 70020, 70200, 70380, 70560, 70740, 70920, 71100, 71280, 71460, 71640, 71820, 72000, 72180, 72360, 72540, 72720, 72900, 73080, 73260, 73440, 73620, 73800, 73980, 74160, 74340, 74520, 74700, 74880, 75060, 75240, 75420, 75600, 75780, 75960, 76140, 76320, 76500, 76680, 76860, 77040, 77220, 77400, 77580, 77760, 77940, 78120, 78300, 78480, 78660, 78840, 79020, 79200, 79380, 79560, 79740, 79920, 80100, 80280, 80460, 80640, 80820, 81000, 81180, 81360, 81540, 81720, 81900, 82080, 82260, 82440, 82620, 82800, 82980, 83160, 83340, 83520, 83700, 83880, 84060, 84240, 84420, 84600, 84780, 84960, 85140, 85320, 85500, 85680, 85860, 86040, 86220, 86400, 86580, 86760, 86940, 87120, 87300, 87480, 87660, 87840, 88020, 88200, 88380, 88560, 88740, 88920, 89100, 89280, 89460, 89640, 89820, 90000, 90180, 90360, 90540, 90720, 90900, 91080, 91260, 91440, 91620, 91800, 91980, 92160, 92340, 92520, 92700, 92880, 93060, 93240, 93420, 93600, 93780, 93960, 94140, 94320, 94500, 94680, 94860, 95040, 95220, 95400, 95580, 95760, 95940, 96120, 96300, 96480, 96660, 96840, 97020, 97200, 97380, 97560, 97740, 97920, 98100, 98280, 98460, 98640, 98820, 99000, 99180, 99360, 99540, 99720, 99900, 100080, 100260, 100440, 100620, 100800, 100980, 101160, 101340, 101520, 101700, 101880, 102060, 102240, 102420, 102600, 102780, 102960, 103140, 103320, 103500, 103680, 103860, 104040, 104220, 104400, 104580, 104760, 104940, 105120, 105300, 105480, 105660, 105840, 106020, 106200, 106380, 106560, 106740, 106920, 107100, 107280, 107460, 107640, 107820, 108000, 108180, 108360, 108540, 108720, 108900, 109080, 109260, 109440, 109620, 109800, 109980, 110160, 110340, 110520, 110700, 110880, 111060, 111240, 111420, 111600, 111780, 111960, 112140, 112320, 112500, 112680, 112860, 113040, 113220, 113400, 113580, 113760, 113940, 114120, 114300, 114480, 114660, 114840, 115020, 115200, 115380, 115560, 115740, 115920, 116100, 116280, 116460, 116640, 116820, 117000, 117180, 117360, 117540, 117720, 117900, 118080, 118260, 118440, 118620, 118800, 118980, 119160, 119340, 119520, 119700, 119880, 120060, 120240, 120420, 120600, 120780, 120960, 121140, 121320, 121500, 121680, 121860, 122040, 122220, 122400, 122580, 122760, 122940, 123120, 123300, 123480, 123660, 123840, 124020, 124200, 124380, 124560, 124740, 124920, 125100, 125280, 125460, 125640, 125820, 126000, 126180, 126360, 126540, 126720, 126900, 127080, 127260, 127440, 127620, 127800, 127980, 128160, 128340, 128520, 128700, 128880, 129060, 129240, 129420, 129600, 129780, 129960, 130140, 130320, 130500, 130680, 130860, 131040, 131220, 131400, 131580, 131760, 131940, 132120, 132300, 132480, 132660, 132840, 133020, 133200, 133380, 133560, 133740, 133920, 134100, 134280, 134460, 134640, 134820, 135000, 135180, 135360, 135540, 135720, 135900, 136080, 136260, 136440, 136620, 136800, 136980, 137160, 137340, 137520, 137700, 137880, 138060, 138240, 138420, 138600, 138780, 138960, 139140, 139320, 139500, 139680, 139860, 140040, 140220, 140400, 140580, 140760, 140940, 141120, 141300, 141480, 141660, 141840, 142020, 142200, 142380, 142560, 142740, 142920, 143100, 143280, 143460, 143640, 143820, 144000, 144180, 144360, 144540, 144720, 144900, 145080, 145260, 145440, 145620, 145800, 145980, 146160, 146340, 146520, 146700, 146880, 147060, 147240, 147420, 147600, 147780, 147960, 148140, 148320, 148500, 148680, 148860, 149040, 149220, 149400, 149580, 149760, 149940, 150120, 150300, 150480, 150660, 150840, 151020, 151200, 151380, 151560, 151740, 151920, 152100, 152280, 152460, 152640, 152820, 153000, 153180, 153360, 153540, 153720, 153900, 154080, 154260, 154440, 154620, 154800, 154980, 155160, 155340, 155520, 155700, 155880, 156060, 156240, 156420, 156600, 156780, 156960, 157140, 157320, 157500, 157680, 157860, 158040, 158220, 158400, 158580, 158760, 158940, 159120, 159300, 159480, 159660, 159840, 160020, 160200, 160380, 160560, 160740, 160920, 161100, 161280, 161460, 161640, 161820, 162000, 162180, 162360, 162540, 162720, 162900, 163080, 163260, 163440, 163620, 163800, 163980, 164160, 164340, 164520, 164700, 164880, 165060, 165240, 165420, 165600, 165780, 165960, 166140, 166320, 166500, 166680, 166860, 167040, 167220, 167400, 167580, 167760, 167940, 168120, 168300, 168480, 168660, 168840, 169020, 169200, 169380, 169560, 169740, 169920, 170100, 170280, 170460, 170640, 170820, 171000, 171180, 171360, 171540, 171720, 171900, 172080, 172260, 172440, 172620, 172800, 172980, 173160, 173340, 173520, 173700, 173880, 174060, 174240, 174420, 174600, 174780, 174960, 175140, 175320, 175500, 175680, 175860, 176040, 176220, 176400, 176580, 176760, 176940, 177120, 177300, 177480, 177660, 177840, 178020, 178200, 178380, 178560, 178740, 178920, 179100, 179280, 179460, 179640, 179820, 180000, [...], 180

So the LCM for 90 and 180 is 180

Another method to find LCM for numbers 90 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors: