What is the Least Common Multiple of 58116 and 58126?

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 58126 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 58126, than apply into the LCM equation.

GCF(58116,58126) = 2
LCM(58116,58126) = ( 58116 × 58126) / 2
LCM(58116,58126) = 3378050616 / 2
LCM(58116,58126) = 1689025308

Least Common Multiple (LCM) of 58116 and 58126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58116 and 58126. First we will calculate the prime factors of 58116 and 58126.

Prime Factorization of 58116

Prime Factorization of 58126

Now multiplying the highest exponent prime factors to calculate the LCM of 58116 and 58126.

LCM(58116,58126) = 2² × 3¹ × 29¹ × 167¹ × 29063¹
LCM(58116,58126) = 1689025308