LCM for 47 and 48

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What's the Least Common Multiple (LCM) of 47 and 48?

Answer

LCM of 47 and 48 is
2,256

First common multiples: 2,256; 4,512; 6,768; …

2,256 is divisible by both: 2,256 ÷ 47 = 48; 2,256 ÷ 48 = 47 — and 48 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 48 and of y/48 by 47.

47 and 48 are coprime (GCF = 1), so their LCM is simply the product: 47 × 48 = 2,256.

47 — prime

48 = 24 × 3

Prime4748Highest power
2—2424
3—33
4747—47

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

LCM = 24 × 3 × 47 = 2,256

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LCM Table

Number 1Number 2LCM
47331,551
47341,598
47351,645
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

FAQ

What's the Least Common Multiple (LCM) of 47 and 48?

LCM of 47 and 48 is 2,256

How to find the LCM of 47 and 48 using prime factorization?

To find the LCM of 47 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,256.

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 48: LCM = 2,256, GCF = 1.

See Also