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What is the Least Common Multiple of 8891 and 8899?

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 8891 and 8899 is 79121009.

LCM(8891,8899) = 79121009

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Least Common Multiple of 8891 and 8899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8891 and 8899, than apply into the LCM equation.

GCF(8891,8899) = 1
LCM(8891,8899) = ( 8891 × 8899) / 1
LCM(8891,8899) = 79121009 / 1
LCM(8891,8899) = 79121009

Least Common Multiple (LCM) of 8891 and 8899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8891 and 8899. First we will calculate the prime factors of 8891 and 8899.

Prime Factorization of 8891

Prime factors of 8891 are 17, 523. Prime factorization of 8891 in exponential form is:

8891 = 171 × 5231

Prime Factorization of 8899

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

8899 = 111 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 8891 and 8899.

LCM(8891,8899) = 171 × 5231 × 111 × 8091
LCM(8891,8899) = 79121009