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What is the Least Common Multiple of 8913 and 8921?

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 8913 and 8921 is 79512873.

LCM(8913,8921) = 79512873

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Least Common Multiple of 8913 and 8921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8913 and 8921, than apply into the LCM equation.

GCF(8913,8921) = 1
LCM(8913,8921) = ( 8913 × 8921) / 1
LCM(8913,8921) = 79512873 / 1
LCM(8913,8921) = 79512873

Least Common Multiple (LCM) of 8913 and 8921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8913 and 8921. First we will calculate the prime factors of 8913 and 8921.

Prime Factorization of 8913

Prime factors of 8913 are 3, 2971. Prime factorization of 8913 in exponential form is:

8913 = 31 × 29711

Prime Factorization of 8921

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

8921 = 111 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 8913 and 8921.

LCM(8913,8921) = 31 × 29711 × 111 × 8111
LCM(8913,8921) = 79512873