What is the Least Common Multiple of 72882 and 72896?

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 72882 and 72896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72882 and 72896, than apply into the LCM equation.

GCF(72882,72896) = 2
LCM(72882,72896) = ( 72882 × 72896) / 2
LCM(72882,72896) = 5312806272 / 2
LCM(72882,72896) = 2656403136

Least Common Multiple (LCM) of 72882 and 72896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72882 and 72896. First we will calculate the prime factors of 72882 and 72896.

Prime Factorization of 72882

Prime Factorization of 72896

Now multiplying the highest exponent prime factors to calculate the LCM of 72882 and 72896.

LCM(72882,72896) = 2⁶ × 3² × 4049¹ × 17¹ × 67¹
LCM(72882,72896) = 2656403136