LCM for 47 and 51

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What's the Least Common Multiple (LCM) of 47 and 51?

Answer

LCM of 47 and 51 is
2,397

First common multiples: 2,397; 4,794; 7,191; …

2,397 is divisible by both: 2,397 ÷ 47 = 51; 2,397 ÷ 51 = 47 — and 51 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 51 and of y/51 by 47.

47 and 51 are coprime (GCF = 1), so their LCM is simply the product: 47 × 51 = 2,397.

47 — prime

51 = 3 × 17

Prime4751Highest power
3—33
17—1717
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 × 17 × 47 = 2,397

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LCM Table

Number 1Number 2LCM
47361,692
47371,739
47381,786
47391,833
47401,880
47411,927
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

FAQ

What's the Least Common Multiple (LCM) of 47 and 51?

LCM of 47 and 51 is 2,397

How to find the LCM of 47 and 51 using prime factorization?

To find the LCM of 47 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,397.

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 51: LCM = 2,397, GCF = 1.

See Also