What is the Least Common Multiple of 50580 and 50595?

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 50580 and 50595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50580 and 50595, than apply into the LCM equation.

GCF(50580,50595) = 15
LCM(50580,50595) = ( 50580 × 50595) / 15
LCM(50580,50595) = 2559095100 / 15
LCM(50580,50595) = 170606340

Least Common Multiple (LCM) of 50580 and 50595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50580 and 50595. First we will calculate the prime factors of 50580 and 50595.

Prime Factorization of 50580

Prime Factorization of 50595

Now multiplying the highest exponent prime factors to calculate the LCM of 50580 and 50595.

LCM(50580,50595) = 2² × 3² × 5¹ × 281¹ × 3373¹
LCM(50580,50595) = 170606340