What is the Least Common Multiple of 31971 and 31975?

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 31971 and 31975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31971 and 31975, than apply into the LCM equation.

GCF(31971,31975) = 1
LCM(31971,31975) = ( 31971 × 31975) / 1
LCM(31971,31975) = 1022272725 / 1
LCM(31971,31975) = 1022272725

Least Common Multiple (LCM) of 31971 and 31975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31971 and 31975. First we will calculate the prime factors of 31971 and 31975.

Prime Factorization of 31971

Prime Factorization of 31975

Now multiplying the highest exponent prime factors to calculate the LCM of 31971 and 31975.

LCM(31971,31975) = 3¹ × 10657¹ × 5² × 1279¹
LCM(31971,31975) = 1022272725