What is the Least Common Multiple of 52008 and 52023?

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 52008 and 52023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52008 and 52023, than apply into the LCM equation.

GCF(52008,52023) = 3
LCM(52008,52023) = ( 52008 × 52023) / 3
LCM(52008,52023) = 2705612184 / 3
LCM(52008,52023) = 901870728

Least Common Multiple (LCM) of 52008 and 52023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52008 and 52023. First we will calculate the prime factors of 52008 and 52023.

Prime Factorization of 52008

Prime Factorization of 52023

Now multiplying the highest exponent prime factors to calculate the LCM of 52008 and 52023.

LCM(52008,52023) = 2³ × 3¹ × 11¹ × 197¹ × 17341¹
LCM(52008,52023) = 901870728