What is the Least Common Multiple of 95872 and 95878?

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 95872 and 95878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95872 and 95878, than apply into the LCM equation.

GCF(95872,95878) = 2
LCM(95872,95878) = ( 95872 × 95878) / 2
LCM(95872,95878) = 9192015616 / 2
LCM(95872,95878) = 4596007808

Least Common Multiple (LCM) of 95872 and 95878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95872 and 95878. First we will calculate the prime factors of 95872 and 95878.

Prime Factorization of 95872

Prime Factorization of 95878

Now multiplying the highest exponent prime factors to calculate the LCM of 95872 and 95878.

LCM(95872,95878) = 2⁷ × 7¹ × 107¹ × 47939¹
LCM(95872,95878) = 4596007808