GCF and LCM Calculator Logo

What is the Least Common Multiple of 64396 and 64404?

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 64396 and 64404 is 1036839996.

LCM(64396,64404) = 1036839996

LCM Calculator and
and

Least Common Multiple of 64396 and 64404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64396 and 64404, than apply into the LCM equation.

GCF(64396,64404) = 4
LCM(64396,64404) = ( 64396 × 64404) / 4
LCM(64396,64404) = 4147359984 / 4
LCM(64396,64404) = 1036839996

Least Common Multiple (LCM) of 64396 and 64404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64396 and 64404. First we will calculate the prime factors of 64396 and 64404.

Prime Factorization of 64396

Prime factors of 64396 are 2, 17, 947. Prime factorization of 64396 in exponential form is:

64396 = 22 × 171 × 9471

Prime Factorization of 64404

Prime factors of 64404 are 2, 3, 1789. Prime factorization of 64404 in exponential form is:

64404 = 22 × 32 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 64396 and 64404.

LCM(64396,64404) = 22 × 171 × 9471 × 32 × 17891
LCM(64396,64404) = 1036839996