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What is the Least Common Multiple of 8916 and 8920?

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 8916 and 8920 is 19882680.

LCM(8916,8920) = 19882680

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Least Common Multiple of 8916 and 8920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8916 and 8920, than apply into the LCM equation.

GCF(8916,8920) = 4
LCM(8916,8920) = ( 8916 × 8920) / 4
LCM(8916,8920) = 79530720 / 4
LCM(8916,8920) = 19882680

Least Common Multiple (LCM) of 8916 and 8920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8916 and 8920. First we will calculate the prime factors of 8916 and 8920.

Prime Factorization of 8916

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

8916 = 22 × 31 × 7431

Prime Factorization of 8920

Prime factors of 8920 are 2, 5, 223. Prime factorization of 8920 in exponential form is:

8920 = 23 × 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 8916 and 8920.

LCM(8916,8920) = 23 × 31 × 7431 × 51 × 2231
LCM(8916,8920) = 19882680