GCF and LCM Calculator Logo

What is the Least Common Multiple of 64300 and 64320?

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 64300 and 64320 is 206788800.

LCM(64300,64320) = 206788800

LCM Calculator and
and

Least Common Multiple of 64300 and 64320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64300 and 64320, than apply into the LCM equation.

GCF(64300,64320) = 20
LCM(64300,64320) = ( 64300 × 64320) / 20
LCM(64300,64320) = 4135776000 / 20
LCM(64300,64320) = 206788800

Least Common Multiple (LCM) of 64300 and 64320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64300 and 64320. First we will calculate the prime factors of 64300 and 64320.

Prime Factorization of 64300

Prime factors of 64300 are 2, 5, 643. Prime factorization of 64300 in exponential form is:

64300 = 22 × 52 × 6431

Prime Factorization of 64320

Prime factors of 64320 are 2, 3, 5, 67. Prime factorization of 64320 in exponential form is:

64320 = 26 × 31 × 51 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 64300 and 64320.

LCM(64300,64320) = 26 × 52 × 6431 × 31 × 671
LCM(64300,64320) = 206788800