What is the Least Common Multiple of 62784 and 62796?

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 62784 and 62796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62784 and 62796, than apply into the LCM equation.

GCF(62784,62796) = 12
LCM(62784,62796) = ( 62784 × 62796) / 12
LCM(62784,62796) = 3942584064 / 12
LCM(62784,62796) = 328548672

Least Common Multiple (LCM) of 62784 and 62796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62784 and 62796. First we will calculate the prime factors of 62784 and 62796.

Prime Factorization of 62784

Prime Factorization of 62796

Now multiplying the highest exponent prime factors to calculate the LCM of 62784 and 62796.

LCM(62784,62796) = 2⁶ × 3² × 109¹ × 5233¹
LCM(62784,62796) = 328548672