What is the Least Common Multiple of 64675 and 64688?

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 64675 and 64688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64675 and 64688, than apply into the LCM equation.

GCF(64675,64688) = 13
LCM(64675,64688) = ( 64675 × 64688) / 13
LCM(64675,64688) = 4183696400 / 13
LCM(64675,64688) = 321822800

Least Common Multiple (LCM) of 64675 and 64688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64675 and 64688. First we will calculate the prime factors of 64675 and 64688.

Prime Factorization of 64675

Prime Factorization of 64688

Now multiplying the highest exponent prime factors to calculate the LCM of 64675 and 64688.

LCM(64675,64688) = 5² × 13¹ × 199¹ × 2⁴ × 311¹
LCM(64675,64688) = 321822800