What is the Least Common Multiple of 94592 and 94608?

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 94592 and 94608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94592 and 94608, than apply into the LCM equation.

GCF(94592,94608) = 16
LCM(94592,94608) = ( 94592 × 94608) / 16
LCM(94592,94608) = 8949159936 / 16
LCM(94592,94608) = 559322496

Least Common Multiple (LCM) of 94592 and 94608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94592 and 94608. First we will calculate the prime factors of 94592 and 94608.

Prime Factorization of 94592

Prime Factorization of 94608

Now multiplying the highest exponent prime factors to calculate the LCM of 94592 and 94608.

LCM(94592,94608) = 2⁷ × 739¹ × 3⁴ × 73¹
LCM(94592,94608) = 559322496