What is the Least Common Multiple of 76416 and 76432?

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 76416 and 76432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76416 and 76432, than apply into the LCM equation.

GCF(76416,76432) = 16
LCM(76416,76432) = ( 76416 × 76432) / 16
LCM(76416,76432) = 5840627712 / 16
LCM(76416,76432) = 365039232

Least Common Multiple (LCM) of 76416 and 76432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76416 and 76432. First we will calculate the prime factors of 76416 and 76432.

Prime Factorization of 76416

Prime Factorization of 76432

Now multiplying the highest exponent prime factors to calculate the LCM of 76416 and 76432.

LCM(76416,76432) = 2⁷ × 3¹ × 199¹ × 17¹ × 281¹
LCM(76416,76432) = 365039232