What is the Least Common Multiple of 59595 and 59601?

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 59601 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 59601, than apply into the LCM equation.

GCF(59595,59601) = 3
LCM(59595,59601) = ( 59595 × 59601) / 3
LCM(59595,59601) = 3551921595 / 3
LCM(59595,59601) = 1183973865

Least Common Multiple (LCM) of 59595 and 59601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59595 and 59601. First we will calculate the prime factors of 59595 and 59601.

Prime Factorization of 59595

Prime Factorization of 59601

Now multiplying the highest exponent prime factors to calculate the LCM of 59595 and 59601.

LCM(59595,59601) = 3¹ × 5¹ × 29¹ × 137¹ × 19867¹
LCM(59595,59601) = 1183973865