What is the Least Common Multiple of 76004 and 76022?

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 76004 and 76022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76004 and 76022, than apply into the LCM equation.

GCF(76004,76022) = 2
LCM(76004,76022) = ( 76004 × 76022) / 2
LCM(76004,76022) = 5777976088 / 2
LCM(76004,76022) = 2888988044

Least Common Multiple (LCM) of 76004 and 76022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76004 and 76022. First we will calculate the prime factors of 76004 and 76022.

Prime Factorization of 76004

Prime Factorization of 76022

Now multiplying the highest exponent prime factors to calculate the LCM of 76004 and 76022.

LCM(76004,76022) = 2² × 19001¹ × 38011¹
LCM(76004,76022) = 2888988044