What is the Least Common Multiple of 94592 and 94610?

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 94610 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 94610, than apply into the LCM equation.

GCF(94592,94610) = 2
LCM(94592,94610) = ( 94592 × 94610) / 2
LCM(94592,94610) = 8949349120 / 2
LCM(94592,94610) = 4474674560

Least Common Multiple (LCM) of 94592 and 94610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94592 and 94610. First we will calculate the prime factors of 94592 and 94610.

Prime Factorization of 94592

Prime Factorization of 94610

Now multiplying the highest exponent prime factors to calculate the LCM of 94592 and 94610.

LCM(94592,94610) = 2⁷ × 739¹ × 5¹ × 9461¹
LCM(94592,94610) = 4474674560