What is the LCM of 45 and 54?

What's the Least Common Multiple (LCM) of 45 and 54?

Answer

LCM of 45 and 54 is

270

First common multiples: 270, 540, 810, …

270 is divisible by both: 270 ÷ 45 = 6, 270 ÷ 54 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/45 by 6 and of y/54 by 5.

45 = 3² × 5

54 = 2 × 3³

Prime	45	54	Highest power
2	—	2	2
3	3²	3³	3³
5	5	—	5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 3³ × 5 = 270

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What is the LCM of 45 and 54? The LCM of 45 and 54 is 270 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/45--54/generated.jpg

LCM Table

Number 1	Number 2	LCM
45	30	90
45	46	2,070
45	49	2,205
45	50	450
45	52	2,340
45	53	2,385
45	54	270
45	55	495
45	57	855
45	60	180
45	63	315
45	65	585
45	70	630
45	72	360
45	75	225
45	76	3,420
45	80	720
45	81	405
45	84	1,260
45	90	90
45	95	855
45	99	495
45	100	900
45	105	315
45	108	540
45	117	585
45	120	360
45	125	1,125
45	135	135
45	150	450

LCM for 45 and 54

What's the Least Common Multiple (LCM) of 45 and 54?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 45 and 54?

How to find the LCM of 45 and 54 using prime factorization?

What is the difference between LCM and GCF?

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