LCM for 22 and 56

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What's the Least Common Multiple (LCM) of 22 and 56?

Answer

LCM of 22 and 56 is
616

First common multiples: 616; 1,232; 1,848; …

616 is divisible by both: 616 ÷ 22 = 28, 616 ÷ 56 = 11 — and 28 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 28 and of y/56 by 11.

22 = 2 × 11

56 = 23 × 7

Prime2256Highest power
222323
7—77
1111—11

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

LCM = 23 × 7 × 11 = 616

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LCM Table

Number 1Number 2LCM
2223506
2224264
2225550
2226286
2228308
2229638
2230330
2232352
223366
2238418
224444
22471,034
22491,078
2250550
22511,122
2255110
2256616
22571,254
2258638
22591,298
228888
221052,310
22121242

FAQ

What's the Least Common Multiple (LCM) of 22 and 56?

LCM of 22 and 56 is 616

How to find the LCM of 22 and 56 using prime factorization?

To find the LCM of 22 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 616.

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 22 and 56: LCM = 616, GCF = 2.

See Also