What is the Least Common Multiple of 94560 and 94575?

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 94560 and 94575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94560 and 94575, than apply into the LCM equation.

GCF(94560,94575) = 15
LCM(94560,94575) = ( 94560 × 94575) / 15
LCM(94560,94575) = 8943012000 / 15
LCM(94560,94575) = 596200800

Least Common Multiple (LCM) of 94560 and 94575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94560 and 94575. First we will calculate the prime factors of 94560 and 94575.

Prime Factorization of 94560

Prime Factorization of 94575

Now multiplying the highest exponent prime factors to calculate the LCM of 94560 and 94575.

LCM(94560,94575) = 2⁵ × 3¹ × 5² × 197¹ × 13¹ × 97¹
LCM(94560,94575) = 596200800