What is the Least Common Multiple of 39872 and 39886?

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 39886 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 39886, than apply into the LCM equation.

GCF(39872,39886) = 14
LCM(39872,39886) = ( 39872 × 39886) / 14
LCM(39872,39886) = 1590334592 / 14
LCM(39872,39886) = 113595328

Least Common Multiple (LCM) of 39872 and 39886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39872 and 39886. First we will calculate the prime factors of 39872 and 39886.

Prime Factorization of 39872

Prime Factorization of 39886

Now multiplying the highest exponent prime factors to calculate the LCM of 39872 and 39886.

LCM(39872,39886) = 2⁶ × 7² × 89¹ × 11¹ × 37¹
LCM(39872,39886) = 113595328