GCF and LCM Calculator Logo

What is the Least Common Multiple of 64359 and 64368?

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 64359 and 64368 is 460295568.

LCM(64359,64368) = 460295568

LCM Calculator and
and

Least Common Multiple of 64359 and 64368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64359 and 64368, than apply into the LCM equation.

GCF(64359,64368) = 9
LCM(64359,64368) = ( 64359 × 64368) / 9
LCM(64359,64368) = 4142660112 / 9
LCM(64359,64368) = 460295568

Least Common Multiple (LCM) of 64359 and 64368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64359 and 64368. First we will calculate the prime factors of 64359 and 64368.

Prime Factorization of 64359

Prime factors of 64359 are 3, 7151. Prime factorization of 64359 in exponential form is:

64359 = 32 × 71511

Prime Factorization of 64368

Prime factors of 64368 are 2, 3, 149. Prime factorization of 64368 in exponential form is:

64368 = 24 × 33 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 64359 and 64368.

LCM(64359,64368) = 33 × 71511 × 24 × 1491
LCM(64359,64368) = 460295568