What is the Least Common Multiple of 95008 and 95024?

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 95008 and 95024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95008 and 95024, than apply into the LCM equation.

GCF(95008,95024) = 16
LCM(95008,95024) = ( 95008 × 95024) / 16
LCM(95008,95024) = 9028040192 / 16
LCM(95008,95024) = 564252512

Least Common Multiple (LCM) of 95008 and 95024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95008 and 95024. First we will calculate the prime factors of 95008 and 95024.

Prime Factorization of 95008

Prime Factorization of 95024

Now multiplying the highest exponent prime factors to calculate the LCM of 95008 and 95024.

LCM(95008,95024) = 2⁵ × 2969¹ × 5939¹
LCM(95008,95024) = 564252512