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What is the Least Common Multiple of 3927 and 3947?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3927 and 3947 is 15499869.

LCM(3927,3947) = 15499869

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Least Common Multiple of 3927 and 3947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3927 and 3947, than apply into the LCM equation.

GCF(3927,3947) = 1
LCM(3927,3947) = ( 3927 × 3947) / 1
LCM(3927,3947) = 15499869 / 1
LCM(3927,3947) = 15499869

Least Common Multiple (LCM) of 3927 and 3947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3927 and 3947. First we will calculate the prime factors of 3927 and 3947.

Prime Factorization of 3927

Prime factors of 3927 are 3, 7, 11, 17. Prime factorization of 3927 in exponential form is:

3927 = 31 × 71 × 111 × 171

Prime Factorization of 3947

Prime factors of 3947 are 3947. Prime factorization of 3947 in exponential form is:

3947 = 39471

Now multiplying the highest exponent prime factors to calculate the LCM of 3927 and 3947.

LCM(3927,3947) = 31 × 71 × 111 × 171 × 39471
LCM(3927,3947) = 15499869