What is the LCM of 27 and 45?

What's the Least Common Multiple (LCM) of 27 and 45?

Answer

LCM of 27 and 45 is

135

First common multiples: 135, 270, 405, …

135 is divisible by both: 135 ÷ 27 = 5, 135 ÷ 45 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/27 by 5 and of y/45 by 3.

27 = 3³

45 = 3² × 5

Prime	27	45	Highest power
3	3³	3²	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 = 3³ × 5 = 135

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What is the LCM of 27 and 45? The LCM of 27 and 45 is 135 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/27--45/generated.jpg

LCM Table

Number 1	Number 2	LCM
27	18	54
27	28	756
27	30	270
27	32	864
27	33	297
27	35	945
27	36	108
27	39	351
27	40	1,080
27	42	378
27	43	1,161
27	44	1,188
27	45	135
27	49	1,323
27	50	1,350
27	53	1,431
27	54	54
27	63	189
27	64	1,728
27	75	675
27	81	81
27	90	270
27	100	2,700
27	108	108
27	125	3,375

LCM for 27 and 45

What's the Least Common Multiple (LCM) of 27 and 45?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 27 and 45?

How to find the LCM of 27 and 45 using prime factorization?

What is the difference between LCM and GCF?

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