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What is the Least Common Multiple of 8988 and 8996?

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 8996 is 20214012.

LCM(8988,8996) = 20214012

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Least Common Multiple of 8988 and 8996 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 8996, than apply into the LCM equation.

GCF(8988,8996) = 4
LCM(8988,8996) = ( 8988 × 8996) / 4
LCM(8988,8996) = 80856048 / 4
LCM(8988,8996) = 20214012

Least Common Multiple (LCM) of 8988 and 8996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8988 and 8996. First we will calculate the prime factors of 8988 and 8996.

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 8996

Prime factors of 8996 are 2, 13, 173. Prime factorization of 8996 in exponential form is:

8996 = 22 × 131 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8988 and 8996.

LCM(8988,8996) = 22 × 31 × 71 × 1071 × 131 × 1731
LCM(8988,8996) = 20214012