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What is the Least Common Multiple of 3908 and 3917?

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 3908 and 3917 is 15307636.

LCM(3908,3917) = 15307636

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Least Common Multiple of 3908 and 3917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3908 and 3917, than apply into the LCM equation.

GCF(3908,3917) = 1
LCM(3908,3917) = ( 3908 × 3917) / 1
LCM(3908,3917) = 15307636 / 1
LCM(3908,3917) = 15307636

Least Common Multiple (LCM) of 3908 and 3917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3908 and 3917. First we will calculate the prime factors of 3908 and 3917.

Prime Factorization of 3908

Prime factors of 3908 are 2, 977. Prime factorization of 3908 in exponential form is:

3908 = 22 × 9771

Prime Factorization of 3917

Prime factors of 3917 are 3917. Prime factorization of 3917 in exponential form is:

3917 = 39171

Now multiplying the highest exponent prime factors to calculate the LCM of 3908 and 3917.

LCM(3908,3917) = 22 × 9771 × 39171
LCM(3908,3917) = 15307636