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What is the Least Common Multiple of 8957 and 8968?

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 8957 and 8968 is 80326376.

LCM(8957,8968) = 80326376

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Least Common Multiple of 8957 and 8968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8957 and 8968, than apply into the LCM equation.

GCF(8957,8968) = 1
LCM(8957,8968) = ( 8957 × 8968) / 1
LCM(8957,8968) = 80326376 / 1
LCM(8957,8968) = 80326376

Least Common Multiple (LCM) of 8957 and 8968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8957 and 8968. First we will calculate the prime factors of 8957 and 8968.

Prime Factorization of 8957

Prime factors of 8957 are 13, 53. Prime factorization of 8957 in exponential form is:

8957 = 132 × 531

Prime Factorization of 8968

Prime factors of 8968 are 2, 19, 59. Prime factorization of 8968 in exponential form is:

8968 = 23 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8957 and 8968.

LCM(8957,8968) = 132 × 531 × 23 × 191 × 591
LCM(8957,8968) = 80326376