LCM for 56 and 100

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What's the Least Common Multiple (LCM) of 56 and 100?

Answer

LCM of 56 and 100 is
1,400

First common multiples: 1,400; 2,800; 4,200; …

1,400 is divisible by both: 1,400 ÷ 56 = 25; 1,400 ÷ 100 = 14 — and 25 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 25 and of y/100 by 14.

56 = 23 × 7

100 = 22 × 52

Prime56100Highest power
2232223
5—5252
77—7

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

LCM = 23 × 52 × 7 = 1,400

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LCM Table

Number 1Number 2LCM
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
561035,768
56104728
56105840
561062,968
561075,992
561081,512
561096,104
561103,080
561116,216
56112112
561136,328
561143,192

FAQ

What's the Least Common Multiple (LCM) of 56 and 100?

LCM of 56 and 100 is 1,400

How to find the LCM of 56 and 100 using prime factorization?

To find the LCM of 56 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,400.

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 100: LCM = 1,400, GCF = 4.

See Also