What is the Least Common Multiple of 52872 and 52888?

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 52872 and 52888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52872 and 52888, than apply into the LCM equation.

GCF(52872,52888) = 8
LCM(52872,52888) = ( 52872 × 52888) / 8
LCM(52872,52888) = 2796294336 / 8
LCM(52872,52888) = 349536792

Least Common Multiple (LCM) of 52872 and 52888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52872 and 52888. First we will calculate the prime factors of 52872 and 52888.

Prime Factorization of 52872

Prime Factorization of 52888

Now multiplying the highest exponent prime factors to calculate the LCM of 52872 and 52888.

LCM(52872,52888) = 2³ × 3¹ × 2203¹ × 11¹ × 601¹
LCM(52872,52888) = 349536792