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What is the Least Common Multiple of 8578 and 8587?

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 8578 and 8587 is 73659286.

LCM(8578,8587) = 73659286

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Least Common Multiple of 8578 and 8587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8578 and 8587, than apply into the LCM equation.

GCF(8578,8587) = 1
LCM(8578,8587) = ( 8578 × 8587) / 1
LCM(8578,8587) = 73659286 / 1
LCM(8578,8587) = 73659286

Least Common Multiple (LCM) of 8578 and 8587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8578 and 8587. First we will calculate the prime factors of 8578 and 8587.

Prime Factorization of 8578

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

8578 = 21 × 42891

Prime Factorization of 8587

Prime factors of 8587 are 31, 277. Prime factorization of 8587 in exponential form is:

8587 = 311 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8578 and 8587.

LCM(8578,8587) = 21 × 42891 × 311 × 2771
LCM(8578,8587) = 73659286