What is the Least Common Multiple of 31948 and 31952?

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 31948 and 31952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31948 and 31952, than apply into the LCM equation.

GCF(31948,31952) = 4
LCM(31948,31952) = ( 31948 × 31952) / 4
LCM(31948,31952) = 1020802496 / 4
LCM(31948,31952) = 255200624

Least Common Multiple (LCM) of 31948 and 31952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31948 and 31952. First we will calculate the prime factors of 31948 and 31952.

Prime Factorization of 31948

Prime Factorization of 31952

Now multiplying the highest exponent prime factors to calculate the LCM of 31948 and 31952.

LCM(31948,31952) = 2⁴ × 7² × 163¹ × 1997¹
LCM(31948,31952) = 255200624