What is the Least Common Multiple of 94056 and 94075?

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 94056 and 94075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94056 and 94075, than apply into the LCM equation.

GCF(94056,94075) = 1
LCM(94056,94075) = ( 94056 × 94075) / 1
LCM(94056,94075) = 8848318200 / 1
LCM(94056,94075) = 8848318200

Least Common Multiple (LCM) of 94056 and 94075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94056 and 94075. First we will calculate the prime factors of 94056 and 94075.

Prime Factorization of 94056

Prime Factorization of 94075

Now multiplying the highest exponent prime factors to calculate the LCM of 94056 and 94075.

LCM(94056,94075) = 2³ × 3¹ × 3919¹ × 5² × 53¹ × 71¹
LCM(94056,94075) = 8848318200