What is the Least Common Multiple of 75156 and 75168?

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 75156 and 75168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75156 and 75168, than apply into the LCM equation.

GCF(75156,75168) = 12
LCM(75156,75168) = ( 75156 × 75168) / 12
LCM(75156,75168) = 5649326208 / 12
LCM(75156,75168) = 470777184

Least Common Multiple (LCM) of 75156 and 75168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75156 and 75168. First we will calculate the prime factors of 75156 and 75168.

Prime Factorization of 75156

Prime Factorization of 75168

Now multiplying the highest exponent prime factors to calculate the LCM of 75156 and 75168.

LCM(75156,75168) = 2⁵ × 3⁴ × 6263¹ × 29¹
LCM(75156,75168) = 470777184