What is the Least Common Multiple of 64356 and 64375?

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 64356 and 64375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64356 and 64375, than apply into the LCM equation.

GCF(64356,64375) = 1
LCM(64356,64375) = ( 64356 × 64375) / 1
LCM(64356,64375) = 4142917500 / 1
LCM(64356,64375) = 4142917500

Least Common Multiple (LCM) of 64356 and 64375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64356 and 64375. First we will calculate the prime factors of 64356 and 64375.

Prime Factorization of 64356

Prime Factorization of 64375

Now multiplying the highest exponent prime factors to calculate the LCM of 64356 and 64375.

LCM(64356,64375) = 2² × 3¹ × 31¹ × 173¹ × 5⁴ × 103¹
LCM(64356,64375) = 4142917500