What is the Least Common Multiple of 77472 and 77484?

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 77472 and 77484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77472 and 77484, than apply into the LCM equation.

GCF(77472,77484) = 12
LCM(77472,77484) = ( 77472 × 77484) / 12
LCM(77472,77484) = 6002840448 / 12
LCM(77472,77484) = 500236704

Least Common Multiple (LCM) of 77472 and 77484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77472 and 77484. First we will calculate the prime factors of 77472 and 77484.

Prime Factorization of 77472

Prime Factorization of 77484

Now multiplying the highest exponent prime factors to calculate the LCM of 77472 and 77484.

LCM(77472,77484) = 2⁵ × 3² × 269¹ × 11¹ × 587¹
LCM(77472,77484) = 500236704