What is the Least Common Multiple of 58116 and 58125?

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 58125 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 58125, than apply into the LCM equation.

GCF(58116,58125) = 3
LCM(58116,58125) = ( 58116 × 58125) / 3
LCM(58116,58125) = 3377992500 / 3
LCM(58116,58125) = 1125997500

Least Common Multiple (LCM) of 58116 and 58125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58116 and 58125. First we will calculate the prime factors of 58116 and 58125.

Prime Factorization of 58116

Prime Factorization of 58125

Now multiplying the highest exponent prime factors to calculate the LCM of 58116 and 58125.

LCM(58116,58125) = 2² × 3¹ × 29¹ × 167¹ × 5⁴ × 31¹
LCM(58116,58125) = 1125997500