What is the Least Common Multiple of 73632 and 73645?

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 73632 and 73645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73632 and 73645, than apply into the LCM equation.

GCF(73632,73645) = 13
LCM(73632,73645) = ( 73632 × 73645) / 13
LCM(73632,73645) = 5422628640 / 13
LCM(73632,73645) = 417125280

Least Common Multiple (LCM) of 73632 and 73645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73632 and 73645. First we will calculate the prime factors of 73632 and 73645.

Prime Factorization of 73632

Prime Factorization of 73645

Now multiplying the highest exponent prime factors to calculate the LCM of 73632 and 73645.

LCM(73632,73645) = 2⁵ × 3¹ × 13¹ × 59¹ × 5¹ × 11¹ × 103¹
LCM(73632,73645) = 417125280