What is the Least Common Multiple of 40872 and 40889?

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 40872 and 40889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40872 and 40889, than apply into the LCM equation.

GCF(40872,40889) = 1
LCM(40872,40889) = ( 40872 × 40889) / 1
LCM(40872,40889) = 1671215208 / 1
LCM(40872,40889) = 1671215208

Least Common Multiple (LCM) of 40872 and 40889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40872 and 40889. First we will calculate the prime factors of 40872 and 40889.

Prime Factorization of 40872

Prime Factorization of 40889

Now multiplying the highest exponent prime factors to calculate the LCM of 40872 and 40889.

LCM(40872,40889) = 2³ × 3¹ × 13¹ × 131¹ × 31¹ × 1319¹
LCM(40872,40889) = 1671215208