What is the Least Common Multiple of 64594 and 64608?

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 64594 and 64608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64594 and 64608, than apply into the LCM equation.

GCF(64594,64608) = 2
LCM(64594,64608) = ( 64594 × 64608) / 2
LCM(64594,64608) = 4173289152 / 2
LCM(64594,64608) = 2086644576

Least Common Multiple (LCM) of 64594 and 64608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64594 and 64608. First we will calculate the prime factors of 64594 and 64608.

Prime Factorization of 64594

Prime Factorization of 64608

Now multiplying the highest exponent prime factors to calculate the LCM of 64594 and 64608.

LCM(64594,64608) = 2⁵ × 32297¹ × 3¹ × 673¹
LCM(64594,64608) = 2086644576