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What is the Least Common Multiple of 8988 and 9007?

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 8988 and 9007 is 80954916.

LCM(8988,9007) = 80954916

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Least Common Multiple of 8988 and 9007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8988 and 9007, than apply into the LCM equation.

GCF(8988,9007) = 1
LCM(8988,9007) = ( 8988 × 9007) / 1
LCM(8988,9007) = 80954916 / 1
LCM(8988,9007) = 80954916

Least Common Multiple (LCM) of 8988 and 9007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8988 and 9007. First we will calculate the prime factors of 8988 and 9007.

Prime Factorization of 8988

Prime factors of 8988 are 2, 3, 7, 107. Prime factorization of 8988 in exponential form is:

8988 = 22 × 31 × 71 × 1071

Prime Factorization of 9007

Prime factors of 9007 are 9007. Prime factorization of 9007 in exponential form is:

9007 = 90071

Now multiplying the highest exponent prime factors to calculate the LCM of 8988 and 9007.

LCM(8988,9007) = 22 × 31 × 71 × 1071 × 90071
LCM(8988,9007) = 80954916