What is the Least Common Multiple of 31722 and 31742?

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 31722 and 31742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31722 and 31742, than apply into the LCM equation.

GCF(31722,31742) = 2
LCM(31722,31742) = ( 31722 × 31742) / 2
LCM(31722,31742) = 1006919724 / 2
LCM(31722,31742) = 503459862

Least Common Multiple (LCM) of 31722 and 31742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31722 and 31742. First we will calculate the prime factors of 31722 and 31742.

Prime Factorization of 31722

Prime Factorization of 31742

Now multiplying the highest exponent prime factors to calculate the LCM of 31722 and 31742.

LCM(31722,31742) = 2¹ × 3¹ × 17¹ × 311¹ × 59¹ × 269¹
LCM(31722,31742) = 503459862