What is the Least Common Multiple of 38872 and 38889?

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 38872 and 38889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38872 and 38889, than apply into the LCM equation.

GCF(38872,38889) = 1
LCM(38872,38889) = ( 38872 × 38889) / 1
LCM(38872,38889) = 1511693208 / 1
LCM(38872,38889) = 1511693208

Least Common Multiple (LCM) of 38872 and 38889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38872 and 38889. First we will calculate the prime factors of 38872 and 38889.

Prime Factorization of 38872

Prime Factorization of 38889

Now multiplying the highest exponent prime factors to calculate the LCM of 38872 and 38889.

LCM(38872,38889) = 2³ × 43¹ × 113¹ × 3² × 29¹ × 149¹
LCM(38872,38889) = 1511693208