LCM for 56 and 88

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What's the Least Common Multiple (LCM) of 56 and 88?

Answer

LCM of 56 and 88 is
616

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

616 is divisible by both: 616 ÷ 56 = 11, 616 ÷ 88 = 7 — and 11 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 11 and of y/88 by 7.

56 = 23 × 7

88 = 23 × 11

Prime5688Highest power
2232323
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 = 23 × 7 × 11 = 616

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LCM Table

Number 1Number 2LCM
56734,088
56742,072
56754,200
56761,064
5677616
56782,184
56794,424
5680560
56814,536
56822,296
56834,648
5684168
56854,760
56862,408
56874,872
5688616
56894,984
56902,520
5691728
56921,288
56935,208
56942,632
56955,320
5696672
56975,432
5698392
56995,544
561001,400
561015,656
561022,856

FAQ

What's the Least Common Multiple (LCM) of 56 and 88?

LCM of 56 and 88 is 616

How to find the LCM of 56 and 88 using prime factorization?

To find the LCM of 56 and 88, 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 56 and 88: LCM = 616, GCF = 8.

See Also