GCF and LCM Calculator Logo

What is the Least Common Multiple of 64635 and 64653?

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 64635 and 64653 is 1392948885.

LCM(64635,64653) = 1392948885

LCM Calculator and
and

Least Common Multiple of 64635 and 64653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64635 and 64653, than apply into the LCM equation.

GCF(64635,64653) = 3
LCM(64635,64653) = ( 64635 × 64653) / 3
LCM(64635,64653) = 4178846655 / 3
LCM(64635,64653) = 1392948885

Least Common Multiple (LCM) of 64635 and 64653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64635 and 64653. First we will calculate the prime factors of 64635 and 64653.

Prime Factorization of 64635

Prime factors of 64635 are 3, 5, 31, 139. Prime factorization of 64635 in exponential form is:

64635 = 31 × 51 × 311 × 1391

Prime Factorization of 64653

Prime factors of 64653 are 3, 23, 937. Prime factorization of 64653 in exponential form is:

64653 = 31 × 231 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 64635 and 64653.

LCM(64635,64653) = 31 × 51 × 311 × 1391 × 231 × 9371
LCM(64635,64653) = 1392948885