What is the Least Common Multiple of 31912 and 31932?

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 31912 and 31932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31912 and 31932, than apply into the LCM equation.

GCF(31912,31932) = 4
LCM(31912,31932) = ( 31912 × 31932) / 4
LCM(31912,31932) = 1019013984 / 4
LCM(31912,31932) = 254753496

Least Common Multiple (LCM) of 31912 and 31932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31912 and 31932. First we will calculate the prime factors of 31912 and 31932.

Prime Factorization of 31912

Prime Factorization of 31932

Now multiplying the highest exponent prime factors to calculate the LCM of 31912 and 31932.

LCM(31912,31932) = 2³ × 3989¹ × 3² × 887¹
LCM(31912,31932) = 254753496