What is the Least Common Multiple of 95896 and 95911?

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 95896 and 95911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95896 and 95911, than apply into the LCM equation.

GCF(95896,95911) = 1
LCM(95896,95911) = ( 95896 × 95911) / 1
LCM(95896,95911) = 9197481256 / 1
LCM(95896,95911) = 9197481256

Least Common Multiple (LCM) of 95896 and 95911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95896 and 95911. First we will calculate the prime factors of 95896 and 95911.

Prime Factorization of 95896

Prime Factorization of 95911

Now multiplying the highest exponent prime factors to calculate the LCM of 95896 and 95911.

LCM(95896,95911) = 2³ × 11987¹ × 95911¹
LCM(95896,95911) = 9197481256