What is the Least Common Multiple of 59595 and 59604?

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 59595 and 59604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59595 and 59604, than apply into the LCM equation.

GCF(59595,59604) = 3
LCM(59595,59604) = ( 59595 × 59604) / 3
LCM(59595,59604) = 3552100380 / 3
LCM(59595,59604) = 1184033460

Least Common Multiple (LCM) of 59595 and 59604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59595 and 59604. First we will calculate the prime factors of 59595 and 59604.

Prime Factorization of 59595

Prime Factorization of 59604

Now multiplying the highest exponent prime factors to calculate the LCM of 59595 and 59604.

LCM(59595,59604) = 3¹ × 5¹ × 29¹ × 137¹ × 2² × 4967¹
LCM(59595,59604) = 1184033460