What is the Least Common Multiple of 95022 and 95036?

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 95022 and 95036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95022 and 95036, than apply into the LCM equation.

GCF(95022,95036) = 2
LCM(95022,95036) = ( 95022 × 95036) / 2
LCM(95022,95036) = 9030510792 / 2
LCM(95022,95036) = 4515255396

Least Common Multiple (LCM) of 95022 and 95036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95022 and 95036. First we will calculate the prime factors of 95022 and 95036.

Prime Factorization of 95022

Prime Factorization of 95036

Now multiplying the highest exponent prime factors to calculate the LCM of 95022 and 95036.

LCM(95022,95036) = 2² × 3² × 5279¹ × 23¹ × 1033¹
LCM(95022,95036) = 4515255396