What is the Least Common Multiple of 94580 and 94592?

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 94580 and 94592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94580 and 94592, than apply into the LCM equation.

GCF(94580,94592) = 4
LCM(94580,94592) = ( 94580 × 94592) / 4
LCM(94580,94592) = 8946511360 / 4
LCM(94580,94592) = 2236627840

Least Common Multiple (LCM) of 94580 and 94592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94580 and 94592. First we will calculate the prime factors of 94580 and 94592.

Prime Factorization of 94580

Prime Factorization of 94592

Now multiplying the highest exponent prime factors to calculate the LCM of 94580 and 94592.

LCM(94580,94592) = 2⁷ × 5¹ × 4729¹ × 739¹
LCM(94580,94592) = 2236627840