What is the Least Common Multiple of 31872 and 31882?

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 31872 and 31882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31872 and 31882, than apply into the LCM equation.

GCF(31872,31882) = 2
LCM(31872,31882) = ( 31872 × 31882) / 2
LCM(31872,31882) = 1016143104 / 2
LCM(31872,31882) = 508071552

Least Common Multiple (LCM) of 31872 and 31882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31872 and 31882. First we will calculate the prime factors of 31872 and 31882.

Prime Factorization of 31872

Prime Factorization of 31882

Now multiplying the highest exponent prime factors to calculate the LCM of 31872 and 31882.

LCM(31872,31882) = 2⁷ × 3¹ × 83¹ × 19¹ × 839¹
LCM(31872,31882) = 508071552