What is the Least Common Multiple of 73416 and 73428?

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 73416 and 73428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73416 and 73428, than apply into the LCM equation.

GCF(73416,73428) = 12
LCM(73416,73428) = ( 73416 × 73428) / 12
LCM(73416,73428) = 5390790048 / 12
LCM(73416,73428) = 449232504

Least Common Multiple (LCM) of 73416 and 73428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73416 and 73428. First we will calculate the prime factors of 73416 and 73428.

Prime Factorization of 73416

Prime Factorization of 73428

Now multiplying the highest exponent prime factors to calculate the LCM of 73416 and 73428.

LCM(73416,73428) = 2³ × 3¹ × 7¹ × 19¹ × 23¹ × 29¹ × 211¹
LCM(73416,73428) = 449232504