What is the Least Common Multiple of 31743 and 31761?

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 31743 and 31761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31743 and 31761, than apply into the LCM equation.

GCF(31743,31761) = 9
LCM(31743,31761) = ( 31743 × 31761) / 9
LCM(31743,31761) = 1008189423 / 9
LCM(31743,31761) = 112021047

Least Common Multiple (LCM) of 31743 and 31761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31743 and 31761. First we will calculate the prime factors of 31743 and 31761.

Prime Factorization of 31743

Prime Factorization of 31761

Now multiplying the highest exponent prime factors to calculate the LCM of 31743 and 31761.

LCM(31743,31761) = 3² × 3527¹ × 3529¹
LCM(31743,31761) = 112021047