What is the Least Common Multiple of 58116 and 58134?

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 58116 and 58134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58116 and 58134, than apply into the LCM equation.

GCF(58116,58134) = 6
LCM(58116,58134) = ( 58116 × 58134) / 6
LCM(58116,58134) = 3378515544 / 6
LCM(58116,58134) = 563085924

Least Common Multiple (LCM) of 58116 and 58134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58116 and 58134. First we will calculate the prime factors of 58116 and 58134.

Prime Factorization of 58116

Prime Factorization of 58134

Now multiplying the highest exponent prime factors to calculate the LCM of 58116 and 58134.

LCM(58116,58134) = 2² × 3¹ × 29¹ × 167¹ × 9689¹
LCM(58116,58134) = 563085924