What is the Least Common Multiple of 73508 and 73524?

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 73508 and 73524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73508 and 73524, than apply into the LCM equation.

GCF(73508,73524) = 4
LCM(73508,73524) = ( 73508 × 73524) / 4
LCM(73508,73524) = 5404602192 / 4
LCM(73508,73524) = 1351150548

Least Common Multiple (LCM) of 73508 and 73524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73508 and 73524. First we will calculate the prime factors of 73508 and 73524.

Prime Factorization of 73508

Prime Factorization of 73524

Now multiplying the highest exponent prime factors to calculate the LCM of 73508 and 73524.

LCM(73508,73524) = 2² × 17¹ × 23¹ × 47¹ × 3¹ × 11¹ × 557¹
LCM(73508,73524) = 1351150548