What is the Least Common Multiple of 95872 and 95879?

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 95879 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 95879, than apply into the LCM equation.

GCF(95872,95879) = 7
LCM(95872,95879) = ( 95872 × 95879) / 7
LCM(95872,95879) = 9192111488 / 7
LCM(95872,95879) = 1313158784

Least Common Multiple (LCM) of 95872 and 95879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95872 and 95879. First we will calculate the prime factors of 95872 and 95879.

Prime Factorization of 95872

Prime Factorization of 95879

Now multiplying the highest exponent prime factors to calculate the LCM of 95872 and 95879.

LCM(95872,95879) = 2⁷ × 7¹ × 107¹ × 13697¹
LCM(95872,95879) = 1313158784