What is the Least Common Multiple of 72592 and 72608?

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 72592 and 72608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72592 and 72608, than apply into the LCM equation.

GCF(72592,72608) = 16
LCM(72592,72608) = ( 72592 × 72608) / 16
LCM(72592,72608) = 5270759936 / 16
LCM(72592,72608) = 329422496

Least Common Multiple (LCM) of 72592 and 72608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72592 and 72608. First we will calculate the prime factors of 72592 and 72608.

Prime Factorization of 72592

Prime Factorization of 72608

Now multiplying the highest exponent prime factors to calculate the LCM of 72592 and 72608.

LCM(72592,72608) = 2⁵ × 13¹ × 349¹ × 2269¹
LCM(72592,72608) = 329422496