What is the Least Common Multiple of 62772 and 62784?

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 62772 and 62784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62772 and 62784, than apply into the LCM equation.

GCF(62772,62784) = 12
LCM(62772,62784) = ( 62772 × 62784) / 12
LCM(62772,62784) = 3941077248 / 12
LCM(62772,62784) = 328423104

Least Common Multiple (LCM) of 62772 and 62784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62772 and 62784. First we will calculate the prime factors of 62772 and 62784.

Prime Factorization of 62772

Prime Factorization of 62784

Now multiplying the highest exponent prime factors to calculate the LCM of 62772 and 62784.

LCM(62772,62784) = 2⁶ × 3² × 5231¹ × 109¹
LCM(62772,62784) = 328423104