What is the Least Common Multiple of 95854 and 95872?

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 95854 and 95872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95854 and 95872, than apply into the LCM equation.

GCF(95854,95872) = 2
LCM(95854,95872) = ( 95854 × 95872) / 2
LCM(95854,95872) = 9189714688 / 2
LCM(95854,95872) = 4594857344

Least Common Multiple (LCM) of 95854 and 95872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95854 and 95872. First we will calculate the prime factors of 95854 and 95872.

Prime Factorization of 95854

Prime Factorization of 95872

Now multiplying the highest exponent prime factors to calculate the LCM of 95854 and 95872.

LCM(95854,95872) = 2⁷ × 11¹ × 4357¹ × 7¹ × 107¹
LCM(95854,95872) = 4594857344