What is the Least Common Multiple of 94542 and 94560?

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 94542 and 94560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94542 and 94560, than apply into the LCM equation.

GCF(94542,94560) = 6
LCM(94542,94560) = ( 94542 × 94560) / 6
LCM(94542,94560) = 8939891520 / 6
LCM(94542,94560) = 1489981920

Least Common Multiple (LCM) of 94542 and 94560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94542 and 94560. First we will calculate the prime factors of 94542 and 94560.

Prime Factorization of 94542

Prime Factorization of 94560

Now multiplying the highest exponent prime factors to calculate the LCM of 94542 and 94560.

LCM(94542,94560) = 2⁵ × 3¹ × 7¹ × 2251¹ × 5¹ × 197¹
LCM(94542,94560) = 1489981920