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What is the Least Common Multiple of 8912 and 8927?

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 8912 and 8927 is 79557424.

LCM(8912,8927) = 79557424

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Least Common Multiple of 8912 and 8927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8912 and 8927, than apply into the LCM equation.

GCF(8912,8927) = 1
LCM(8912,8927) = ( 8912 × 8927) / 1
LCM(8912,8927) = 79557424 / 1
LCM(8912,8927) = 79557424

Least Common Multiple (LCM) of 8912 and 8927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8912 and 8927. First we will calculate the prime factors of 8912 and 8927.

Prime Factorization of 8912

Prime factors of 8912 are 2, 557. Prime factorization of 8912 in exponential form is:

8912 = 24 × 5571

Prime Factorization of 8927

Prime factors of 8927 are 79, 113. Prime factorization of 8927 in exponential form is:

8927 = 791 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8912 and 8927.

LCM(8912,8927) = 24 × 5571 × 791 × 1131
LCM(8912,8927) = 79557424