What is the LCM of 90 and 120?

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

Prime	90	120	Highest power
2	2	2³	2³
3	3²	3	3²
5	5	5	5

LCM = 2³ × 3² × 5 = 360

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What is the LCM of 90 and 120? The LCM of 90 and 120 is 360 — the smallest common multiple of both integers.

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LCM Table

Number 1	Number 2	LCM
90	100	900
90	120	360
90	130	1,170
90	135	270
90	140	1,260
90	145	2,610
90	150	450
90	165	990
90	190	1,710
90	200	1,800
90	205	3,690
90	210	630
90	215	3,870
90	230	2,070
90	235	4,230
90	250	2,250
90	255	1,530
90	260	2,340
90	270	270
90	275	4,950
90	280	2,520
90	285	1,710
90	290	2,610
90	305	5,490
90	315	630
90	345	2,070
90	360	360
90	385	6,930
90	405	810
90	425	7,650

LCM for 90 and 120

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

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LCM Table

FAQ

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

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

What is the difference between LCM and GCF?

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