What is the Least Common Multiple of 59088 and 59100?

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 59088 and 59100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59088 and 59100, than apply into the LCM equation.

GCF(59088,59100) = 12
LCM(59088,59100) = ( 59088 × 59100) / 12
LCM(59088,59100) = 3492100800 / 12
LCM(59088,59100) = 291008400

Least Common Multiple (LCM) of 59088 and 59100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59088 and 59100. First we will calculate the prime factors of 59088 and 59100.

Prime Factorization of 59088

Prime Factorization of 59100

Now multiplying the highest exponent prime factors to calculate the LCM of 59088 and 59100.

LCM(59088,59100) = 2⁴ × 3¹ × 1231¹ × 5² × 197¹
LCM(59088,59100) = 291008400