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What is the Least Common Multiple of 8971 and 8976?

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 8971 and 8976 is 80523696.

LCM(8971,8976) = 80523696

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Least Common Multiple of 8971 and 8976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8971 and 8976, than apply into the LCM equation.

GCF(8971,8976) = 1
LCM(8971,8976) = ( 8971 × 8976) / 1
LCM(8971,8976) = 80523696 / 1
LCM(8971,8976) = 80523696

Least Common Multiple (LCM) of 8971 and 8976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8971 and 8976. First we will calculate the prime factors of 8971 and 8976.

Prime Factorization of 8971

Prime factors of 8971 are 8971. Prime factorization of 8971 in exponential form is:

8971 = 89711

Prime Factorization of 8976

Prime factors of 8976 are 2, 3, 11, 17. Prime factorization of 8976 in exponential form is:

8976 = 24 × 31 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 8971 and 8976.

LCM(8971,8976) = 89711 × 24 × 31 × 111 × 171
LCM(8971,8976) = 80523696