LCM for 21 and 22

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What's the Least Common Multiple (LCM) of 21 and 22?

Answer

LCM of 21 and 22 is
462

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

462 is divisible by both: 462 ÷ 21 = 22, 462 ÷ 22 = 21 — and 22 and 21 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/21 by 22 and of y/22 by 21.

21 and 22 are coprime (GCF = 1), so their LCM is simply the product: 21 × 22 = 462.

21 = 3 × 7

22 = 2 × 11

Prime2122Highest power
2—22
33—3
77—7
11—1111

— = 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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LCM Table

Number 1Number 2LCM
2115105
2122462
2123483
2124168
2125525
2126546
212884
2129609
2130210
2132672
2133231
2134714
2135105
2136252
2139273
2140840
2141861
214242
2143903
2144924
2145315
2146966
2147987
2148336
2149147
2151357
21521,092
21531,113
2156168
21581,218

FAQ

What's the Least Common Multiple (LCM) of 21 and 22?

LCM of 21 and 22 is 462

How to find the LCM of 21 and 22 using prime factorization?

To find the LCM of 21 and 22, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 462.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 21 and 22: LCM = 462, GCF = 1.

See Also