LCM for 90 and 120

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What's the Least Common Multiple (LCM) of 90 and 120?

Answer

LCM of 90 and 120 is
360

First common multiples: 360; 720; 1,080; …

360 is divisible by both: 360 ÷ 90 = 4, 360 ÷ 120 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 4 and of y/120 by 3.

90 = 2 × 32 × 5

120 = 23 × 3 × 5

Prime90120Highest power
222323
332332
5555

LCM = 23 × 32 × 5 = 360

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LCM Table

Number 1Number 2LCM
90100900
90120360
901301,170
90135270
901401,260
901452,610
90150450
90165990
901901,710
902001,800
902053,690
90210630
902153,870
902302,070
902354,230
902502,250
902551,530
902602,340
90270270
902754,950
902802,520
902851,710
902902,610
903055,490
90315630
903452,070
903556,390
90360360
903856,930
90405810

FAQ

What's the Least Common Multiple (LCM) of 90 and 120?

LCM of 90 and 120 is 360

How to find the LCM of 90 and 120 using prime factorization?

To find the LCM of 90 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 90 and 120: LCM = 360, GCF = 30.

See Also