What is the Least Common Multiple of 59208 and 59212?

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 59208 and 59212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59208 and 59212, than apply into the LCM equation.

GCF(59208,59212) = 4
LCM(59208,59212) = ( 59208 × 59212) / 4
LCM(59208,59212) = 3505824096 / 4
LCM(59208,59212) = 876456024

Least Common Multiple (LCM) of 59208 and 59212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59208 and 59212. First we will calculate the prime factors of 59208 and 59212.

Prime Factorization of 59208

Prime Factorization of 59212

Now multiplying the highest exponent prime factors to calculate the LCM of 59208 and 59212.

LCM(59208,59212) = 2³ × 3¹ × 2467¹ × 113¹ × 131¹
LCM(59208,59212) = 876456024