What is the LCM of 33 and 42?

What's the Least Common Multiple (LCM) of 33 and 42?

Answer

LCM of 33 and 42 is

462

First common multiples: 462; 924; 1,386; …

462 is divisible by both: 462 ÷ 33 = 14, 462 ÷ 42 = 11 — and 14 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/33 by 14 and of y/42 by 11.

33 = 3 × 11

42 = 2 × 3 × 7

Prime	33	42	Highest power
2	—	2	2
3	3	3	3
7	—	7	7
11	11	—	11

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

LCM = 2 × 3 × 7 × 11 = 462

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What is the LCM of 33 and 42? The LCM of 33 and 42 is 462 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/33--42/generated.jpg

LCM Table

Number 1	Number 2	LCM
33	34	1,122
33	35	1,155
33	38	1,254
33	39	429
33	40	1,320
33	41	1,353
33	42	462
33	43	1,419
33	44	132
33	46	1,518
33	50	1,650
33	52	1,716
33	55	165
33	77	231
33	121	363

LCM for 33 and 42

What's the Least Common Multiple (LCM) of 33 and 42?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 33 and 42?

How to find the LCM of 33 and 42 using prime factorization?

What is the difference between LCM and GCF?

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