What is the Least Common Multiple of 95392 and 95408?

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 95392 and 95408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95392 and 95408, than apply into the LCM equation.

GCF(95392,95408) = 16
LCM(95392,95408) = ( 95392 × 95408) / 16
LCM(95392,95408) = 9101159936 / 16
LCM(95392,95408) = 568822496

Least Common Multiple (LCM) of 95392 and 95408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95392 and 95408. First we will calculate the prime factors of 95392 and 95408.

Prime Factorization of 95392

Prime Factorization of 95408

Now multiplying the highest exponent prime factors to calculate the LCM of 95392 and 95408.

LCM(95392,95408) = 2⁵ × 11¹ × 271¹ × 67¹ × 89¹
LCM(95392,95408) = 568822496