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What is the Least Common Multiple of 64585 and 64589?

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 64585 and 64589 is 4171480565.

LCM(64585,64589) = 4171480565

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Least Common Multiple of 64585 and 64589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64585 and 64589, than apply into the LCM equation.

GCF(64585,64589) = 1
LCM(64585,64589) = ( 64585 × 64589) / 1
LCM(64585,64589) = 4171480565 / 1
LCM(64585,64589) = 4171480565

Least Common Multiple (LCM) of 64585 and 64589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64585 and 64589. First we will calculate the prime factors of 64585 and 64589.

Prime Factorization of 64585

Prime factors of 64585 are 5, 12917. Prime factorization of 64585 in exponential form is:

64585 = 51 × 129171

Prime Factorization of 64589

Prime factors of 64589 are 7, 9227. Prime factorization of 64589 in exponential form is:

64589 = 71 × 92271

Now multiplying the highest exponent prime factors to calculate the LCM of 64585 and 64589.

LCM(64585,64589) = 51 × 129171 × 71 × 92271
LCM(64585,64589) = 4171480565