What is the Least Common Multiple of 75996 and 76016?

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 75996 and 76016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75996 and 76016, than apply into the LCM equation.

GCF(75996,76016) = 4
LCM(75996,76016) = ( 75996 × 76016) / 4
LCM(75996,76016) = 5776911936 / 4
LCM(75996,76016) = 1444227984

Least Common Multiple (LCM) of 75996 and 76016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75996 and 76016. First we will calculate the prime factors of 75996 and 76016.

Prime Factorization of 75996

Prime Factorization of 76016

Now multiplying the highest exponent prime factors to calculate the LCM of 75996 and 76016.

LCM(75996,76016) = 2⁴ × 3² × 2111¹ × 4751¹
LCM(75996,76016) = 1444227984