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What is the Least Common Multiple of 64589 and 64609?

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 64589 and 64609 is 4173030701.

LCM(64589,64609) = 4173030701

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Least Common Multiple of 64589 and 64609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64589 and 64609, than apply into the LCM equation.

GCF(64589,64609) = 1
LCM(64589,64609) = ( 64589 × 64609) / 1
LCM(64589,64609) = 4173030701 / 1
LCM(64589,64609) = 4173030701

Least Common Multiple (LCM) of 64589 and 64609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64589 and 64609. First we will calculate the prime factors of 64589 and 64609.

Prime Factorization of 64589

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

64589 = 71 × 92271

Prime Factorization of 64609

Prime factors of 64609 are 64609. Prime factorization of 64609 in exponential form is:

64609 = 646091

Now multiplying the highest exponent prime factors to calculate the LCM of 64589 and 64609.

LCM(64589,64609) = 71 × 92271 × 646091
LCM(64589,64609) = 4173030701