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What is the Least Common Multiple of 8564 and 8579?

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 8564 and 8579 is 73470556.

LCM(8564,8579) = 73470556

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Least Common Multiple of 8564 and 8579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8564 and 8579, than apply into the LCM equation.

GCF(8564,8579) = 1
LCM(8564,8579) = ( 8564 × 8579) / 1
LCM(8564,8579) = 73470556 / 1
LCM(8564,8579) = 73470556

Least Common Multiple (LCM) of 8564 and 8579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8564 and 8579. First we will calculate the prime factors of 8564 and 8579.

Prime Factorization of 8564

Prime factors of 8564 are 2, 2141. Prime factorization of 8564 in exponential form is:

8564 = 22 × 21411

Prime Factorization of 8579

Prime factors of 8579 are 23, 373. Prime factorization of 8579 in exponential form is:

8579 = 231 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8564 and 8579.

LCM(8564,8579) = 22 × 21411 × 231 × 3731
LCM(8564,8579) = 73470556