LCM for 47 and 57

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What's the Least Common Multiple (LCM) of 47 and 57?

Answer

LCM of 47 and 57 is
2,679

First common multiples: 2,679; 5,358; 8,037; …

2,679 is divisible by both: 2,679 ÷ 47 = 57; 2,679 ÷ 57 = 47 — and 57 and 47 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/47 by 57 and of y/57 by 47.

47 and 57 are coprime (GCF = 1), so their LCM is simply the product: 47 × 57 = 2,679.

47 — prime

57 = 3 × 19

Prime4757Highest power
3—33
19—1919
4747—47

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

LCM = 3 × 19 × 47 = 2,679

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LCM Table

Number 1Number 2LCM
47421,974
47432,021
47442,068
47452,115
47462,162
474747
47482,256
47492,303
47502,350
47512,397
47522,444
47532,491
47542,538
47552,585
47562,632
47572,679
47582,726
47592,773
47602,820
47612,867
47622,914
47632,961
47643,008
47653,055
47663,102
47673,149
47683,196
47693,243
47703,290
47713,337

FAQ

What's the Least Common Multiple (LCM) of 47 and 57?

LCM of 47 and 57 is 2,679

How to find the LCM of 47 and 57 using prime factorization?

To find the LCM of 47 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,679.

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 47 and 57: LCM = 2,679, GCF = 1.

See Also