LCM for 53 and 56

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What's the Least Common Multiple (LCM) of 53 and 56?

Answer

LCM of 53 and 56 is
2,968

First common multiples: 2,968; 5,936; 8,904; …

2,968 is divisible by both: 2,968 ÷ 53 = 56; 2,968 ÷ 56 = 53 — and 56 and 53 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/53 by 56 and of y/56 by 53.

53 and 56 are coprime (GCF = 1), so their LCM is simply the product: 53 × 56 = 2,968.

53 — prime

56 = 23 × 7

Prime5356Highest power
2—2323
7—77
5353—53

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

LCM = 23 × 7 × 53 = 2,968

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LCM Table

Number 1Number 2LCM
53412,173
53422,226
53432,279
53442,332
53452,385
53462,438
53472,491
53482,544
53492,597
53502,650
53512,703
53522,756
535353
53542,862
53552,915
53562,968
53573,021
53583,074
53593,127
53603,180
53613,233
53623,286
53633,339
53643,392
53653,445
53663,498
53673,551
53683,604
53693,657
53703,710

FAQ

What's the Least Common Multiple (LCM) of 53 and 56?

LCM of 53 and 56 is 2,968

How to find the LCM of 53 and 56 using prime factorization?

To find the LCM of 53 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,968.

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 53 and 56: LCM = 2,968, GCF = 1.

See Also