What is the Least Common Multiple of 95072 and 95084?

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 95072 and 95084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95072 and 95084, than apply into the LCM equation.

GCF(95072,95084) = 4
LCM(95072,95084) = ( 95072 × 95084) / 4
LCM(95072,95084) = 9039826048 / 4
LCM(95072,95084) = 2259956512

Least Common Multiple (LCM) of 95072 and 95084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95072 and 95084. First we will calculate the prime factors of 95072 and 95084.

Prime Factorization of 95072

Prime Factorization of 95084

Now multiplying the highest exponent prime factors to calculate the LCM of 95072 and 95084.

LCM(95072,95084) = 2⁵ × 2971¹ × 11¹ × 2161¹
LCM(95072,95084) = 2259956512