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What is the Least Common Multiple of 8899 and 8913?

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 8899 and 8913 is 79316787.

LCM(8899,8913) = 79316787

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Least Common Multiple of 8899 and 8913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8899 and 8913, than apply into the LCM equation.

GCF(8899,8913) = 1
LCM(8899,8913) = ( 8899 × 8913) / 1
LCM(8899,8913) = 79316787 / 1
LCM(8899,8913) = 79316787

Least Common Multiple (LCM) of 8899 and 8913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8899 and 8913. First we will calculate the prime factors of 8899 and 8913.

Prime Factorization of 8899

Prime factors of 8899 are 11, 809. Prime factorization of 8899 in exponential form is:

8899 = 111 × 8091

Prime Factorization of 8913

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

8913 = 31 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 8899 and 8913.

LCM(8899,8913) = 111 × 8091 × 31 × 29711
LCM(8899,8913) = 79316787