What is the Least Common Multiple of 62784 and 62792?

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 62792 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 62792, than apply into the LCM equation.

GCF(62784,62792) = 8
LCM(62784,62792) = ( 62784 × 62792) / 8
LCM(62784,62792) = 3942332928 / 8
LCM(62784,62792) = 492791616

Least Common Multiple (LCM) of 62784 and 62792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62784 and 62792. First we will calculate the prime factors of 62784 and 62792.

Prime Factorization of 62784

Prime Factorization of 62792

Now multiplying the highest exponent prime factors to calculate the LCM of 62784 and 62792.

LCM(62784,62792) = 2⁶ × 3² × 109¹ × 47¹ × 167¹
LCM(62784,62792) = 492791616