What is the Least Common Multiple of 73524 and 73539?

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 73524 and 73539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73524 and 73539, than apply into the LCM equation.

GCF(73524,73539) = 3
LCM(73524,73539) = ( 73524 × 73539) / 3
LCM(73524,73539) = 5406881436 / 3
LCM(73524,73539) = 1802293812

Least Common Multiple (LCM) of 73524 and 73539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73524 and 73539. First we will calculate the prime factors of 73524 and 73539.

Prime Factorization of 73524

Prime Factorization of 73539

Now multiplying the highest exponent prime factors to calculate the LCM of 73524 and 73539.

LCM(73524,73539) = 2² × 3² × 11¹ × 557¹ × 8171¹
LCM(73524,73539) = 1802293812