What is the LCM of 22 and 30?

What's the Least Common Multiple (LCM) of 22 and 30?

Answer

LCM of 22 and 30 is

330

First common multiples: 330, 660, 990, …

330 is divisible by both: 330 ÷ 22 = 15, 330 ÷ 30 = 11 — and 15 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/22 by 15 and of y/30 by 11.

22 = 2 × 11

30 = 2 × 3 × 5

Prime	22	30	Highest power
2	2	2	2
3	—	3	3
5	—	5	5
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 × 5 × 11 = 330

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What is the LCM of 22 and 30? The LCM of 22 and 30 is 330 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/22--30/generated.jpg

LCM Table

Number 1	Number 2	LCM
22	23	506
22	24	264
22	25	550
22	26	286
22	28	308
22	29	638
22	30	330
22	32	352
22	33	66
22	38	418
22	44	44
22	47	1,034
22	49	1,078
22	50	550
22	51	1,122
22	55	110
22	56	616
22	57	1,254
22	58	638
22	59	1,298
22	88	88
22	105	2,310
22	121	242

LCM for 22 and 30

What's the Least Common Multiple (LCM) of 22 and 30?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 22 and 30?

How to find the LCM of 22 and 30 using prime factorization?

What is the difference between LCM and GCF?

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