What is the Least Common Multiple of 64378 and 64396?

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 of 64378 and 64396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64378 and 64396, than apply into the LCM equation.

GCF(64378,64396) = 2
LCM(64378,64396) = ( 64378 × 64396) / 2
LCM(64378,64396) = 4145685688 / 2
LCM(64378,64396) = 2072842844

Least Common Multiple (LCM) of 64378 and 64396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64378 and 64396. First we will calculate the prime factors of 64378 and 64396.

Prime Factorization of 64378

Prime Factorization of 64396

Now multiplying the highest exponent prime factors to calculate the LCM of 64378 and 64396.

LCM(64378,64396) = 2² × 32189¹ × 17¹ × 947¹
LCM(64378,64396) = 2072842844