LCM for 47 and 66

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What's the Least Common Multiple (LCM) of 47 and 66?

Answer

LCM of 47 and 66 is
3,102

First common multiples: 3,102; 6,204; 9,306; …

3,102 is divisible by both: 3,102 ÷ 47 = 66; 3,102 ÷ 66 = 47 — and 66 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 66 and of y/66 by 47.

47 and 66 are coprime (GCF = 1), so their LCM is simply the product: 47 × 66 = 3,102.

47 — prime

66 = 2 × 3 × 11

Prime4766Highest power
2—22
3—33
11—1111
4747—47

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

LCM = 2 × 3 × 11 × 47 = 3,102

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LCM Table

Number 1Number 2LCM
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
47723,384
47733,431
47743,478
47753,525
47763,572
47773,619
47783,666
47793,713
47803,760

FAQ

What's the Least Common Multiple (LCM) of 47 and 66?

LCM of 47 and 66 is 3,102

How to find the LCM of 47 and 66 using prime factorization?

To find the LCM of 47 and 66, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,102.

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 66: LCM = 3,102, GCF = 1.

See Also