What is the Least Common Multiple of 39872 and 39891?

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 39872 and 39891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39872 and 39891, than apply into the LCM equation.

GCF(39872,39891) = 1
LCM(39872,39891) = ( 39872 × 39891) / 1
LCM(39872,39891) = 1590533952 / 1
LCM(39872,39891) = 1590533952

Least Common Multiple (LCM) of 39872 and 39891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39872 and 39891. First we will calculate the prime factors of 39872 and 39891.

Prime Factorization of 39872

Prime Factorization of 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 39872 and 39891.

LCM(39872,39891) = 2⁶ × 7¹ × 89¹ × 3¹ × 13297¹
LCM(39872,39891) = 1590533952