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What is the Least Common Multiple of 8570 and 8578?

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 8570 and 8578 is 36756730.

LCM(8570,8578) = 36756730

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Least Common Multiple of 8570 and 8578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8570 and 8578, than apply into the LCM equation.

GCF(8570,8578) = 2
LCM(8570,8578) = ( 8570 × 8578) / 2
LCM(8570,8578) = 73513460 / 2
LCM(8570,8578) = 36756730

Least Common Multiple (LCM) of 8570 and 8578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8570 and 8578. First we will calculate the prime factors of 8570 and 8578.

Prime Factorization of 8570

Prime factors of 8570 are 2, 5, 857. Prime factorization of 8570 in exponential form is:

8570 = 21 × 51 × 8571

Prime Factorization of 8578

Prime factors of 8578 are 2, 4289. Prime factorization of 8578 in exponential form is:

8578 = 21 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 8570 and 8578.

LCM(8570,8578) = 21 × 51 × 8571 × 42891
LCM(8570,8578) = 36756730