What is the Least Common Multiple of 58188 and 58200?

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 58188 and 58200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58188 and 58200, than apply into the LCM equation.

GCF(58188,58200) = 12
LCM(58188,58200) = ( 58188 × 58200) / 12
LCM(58188,58200) = 3386541600 / 12
LCM(58188,58200) = 282211800

Least Common Multiple (LCM) of 58188 and 58200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58188 and 58200. First we will calculate the prime factors of 58188 and 58200.

Prime Factorization of 58188

Prime Factorization of 58200

Now multiplying the highest exponent prime factors to calculate the LCM of 58188 and 58200.

LCM(58188,58200) = 2³ × 3¹ × 13¹ × 373¹ × 5² × 97¹
LCM(58188,58200) = 282211800