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What is the Least Common Multiple of 8967 and 8972?

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 8967 and 8972 is 80451924.

LCM(8967,8972) = 80451924

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Least Common Multiple of 8967 and 8972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8967 and 8972, than apply into the LCM equation.

GCF(8967,8972) = 1
LCM(8967,8972) = ( 8967 × 8972) / 1
LCM(8967,8972) = 80451924 / 1
LCM(8967,8972) = 80451924

Least Common Multiple (LCM) of 8967 and 8972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8967 and 8972. First we will calculate the prime factors of 8967 and 8972.

Prime Factorization of 8967

Prime factors of 8967 are 3, 7, 61. Prime factorization of 8967 in exponential form is:

8967 = 31 × 72 × 611

Prime Factorization of 8972

Prime factors of 8972 are 2, 2243. Prime factorization of 8972 in exponential form is:

8972 = 22 × 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 8967 and 8972.

LCM(8967,8972) = 31 × 72 × 611 × 22 × 22431
LCM(8967,8972) = 80451924