What is the Least Common Multiple of 31912 and 31921?

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 31921 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 31921, than apply into the LCM equation.

GCF(31912,31921) = 1
LCM(31912,31921) = ( 31912 × 31921) / 1
LCM(31912,31921) = 1018662952 / 1
LCM(31912,31921) = 1018662952

Least Common Multiple (LCM) of 31912 and 31921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31912 and 31921. First we will calculate the prime factors of 31912 and 31921.

Prime Factorization of 31912

Prime Factorization of 31921

Now multiplying the highest exponent prime factors to calculate the LCM of 31912 and 31921.

LCM(31912,31921) = 2³ × 3989¹ × 137¹ × 233¹
LCM(31912,31921) = 1018662952