GCF and LCM Calculator Logo

What is the Least Common Multiple of 64368 and 64380?

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 64368 and 64380 is 345334320.

LCM(64368,64380) = 345334320

LCM Calculator and
and

Least Common Multiple of 64368 and 64380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64368 and 64380, than apply into the LCM equation.

GCF(64368,64380) = 12
LCM(64368,64380) = ( 64368 × 64380) / 12
LCM(64368,64380) = 4144011840 / 12
LCM(64368,64380) = 345334320

Least Common Multiple (LCM) of 64368 and 64380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64368 and 64380. First we will calculate the prime factors of 64368 and 64380.

Prime Factorization of 64368

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

64368 = 24 × 33 × 1491

Prime Factorization of 64380

Prime factors of 64380 are 2, 3, 5, 29, 37. Prime factorization of 64380 in exponential form is:

64380 = 22 × 31 × 51 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 64368 and 64380.

LCM(64368,64380) = 24 × 33 × 1491 × 51 × 291 × 371
LCM(64368,64380) = 345334320