What is the Least Common Multiple of 73632 and 73644?

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 73644 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 73644, than apply into the LCM equation.

GCF(73632,73644) = 12
LCM(73632,73644) = ( 73632 × 73644) / 12
LCM(73632,73644) = 5422555008 / 12
LCM(73632,73644) = 451879584

Least Common Multiple (LCM) of 73632 and 73644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73632 and 73644. First we will calculate the prime factors of 73632 and 73644.

Prime Factorization of 73632

Prime Factorization of 73644

Now multiplying the highest exponent prime factors to calculate the LCM of 73632 and 73644.

LCM(73632,73644) = 2⁵ × 3¹ × 13¹ × 59¹ × 17¹ × 19²
LCM(73632,73644) = 451879584