What is the Least Common Multiple of 76022 and 76031?

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 76022 and 76031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76022 and 76031, than apply into the LCM equation.

GCF(76022,76031) = 1
LCM(76022,76031) = ( 76022 × 76031) / 1
LCM(76022,76031) = 5780028682 / 1
LCM(76022,76031) = 5780028682

Least Common Multiple (LCM) of 76022 and 76031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76022 and 76031. First we will calculate the prime factors of 76022 and 76031.

Prime Factorization of 76022

Prime Factorization of 76031

Now multiplying the highest exponent prime factors to calculate the LCM of 76022 and 76031.

LCM(76022,76031) = 2¹ × 38011¹ × 76031¹
LCM(76022,76031) = 5780028682