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What is the Least Common Multiple of 8908 and 8916?

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 8908 and 8916 is 19855932.

LCM(8908,8916) = 19855932

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Least Common Multiple of 8908 and 8916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8908 and 8916, than apply into the LCM equation.

GCF(8908,8916) = 4
LCM(8908,8916) = ( 8908 × 8916) / 4
LCM(8908,8916) = 79423728 / 4
LCM(8908,8916) = 19855932

Least Common Multiple (LCM) of 8908 and 8916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8908 and 8916. First we will calculate the prime factors of 8908 and 8916.

Prime Factorization of 8908

Prime factors of 8908 are 2, 17, 131. Prime factorization of 8908 in exponential form is:

8908 = 22 × 171 × 1311

Prime Factorization of 8916

Prime factors of 8916 are 2, 3, 743. Prime factorization of 8916 in exponential form is:

8916 = 22 × 31 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 8908 and 8916.

LCM(8908,8916) = 22 × 171 × 1311 × 31 × 7431
LCM(8908,8916) = 19855932