What is the Least Common Multiple of 85008 and 85023?

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 85008 and 85023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85008 and 85023, than apply into the LCM equation.

GCF(85008,85023) = 3
LCM(85008,85023) = ( 85008 × 85023) / 3
LCM(85008,85023) = 7227635184 / 3
LCM(85008,85023) = 2409211728

Least Common Multiple (LCM) of 85008 and 85023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85008 and 85023. First we will calculate the prime factors of 85008 and 85023.

Prime Factorization of 85008

Prime Factorization of 85023

Now multiplying the highest exponent prime factors to calculate the LCM of 85008 and 85023.

LCM(85008,85023) = 2⁴ × 3³ × 7¹ × 11¹ × 23¹ × 47¹ × 67¹
LCM(85008,85023) = 2409211728