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What is the Least Common Multiple of 8921 and 8938?

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 8921 and 8938 is 79735898.

LCM(8921,8938) = 79735898

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Least Common Multiple of 8921 and 8938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8921 and 8938, than apply into the LCM equation.

GCF(8921,8938) = 1
LCM(8921,8938) = ( 8921 × 8938) / 1
LCM(8921,8938) = 79735898 / 1
LCM(8921,8938) = 79735898

Least Common Multiple (LCM) of 8921 and 8938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8921 and 8938. First we will calculate the prime factors of 8921 and 8938.

Prime Factorization of 8921

Prime factors of 8921 are 11, 811. Prime factorization of 8921 in exponential form is:

8921 = 111 × 8111

Prime Factorization of 8938

Prime factors of 8938 are 2, 41, 109. Prime factorization of 8938 in exponential form is:

8938 = 21 × 411 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8921 and 8938.

LCM(8921,8938) = 111 × 8111 × 21 × 411 × 1091
LCM(8921,8938) = 79735898