What is the Least Common Multiple of 31782 and 31797?

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 31782 and 31797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31782 and 31797, than apply into the LCM equation.

GCF(31782,31797) = 3
LCM(31782,31797) = ( 31782 × 31797) / 3
LCM(31782,31797) = 1010572254 / 3
LCM(31782,31797) = 336857418

Least Common Multiple (LCM) of 31782 and 31797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31782 and 31797. First we will calculate the prime factors of 31782 and 31797.

Prime Factorization of 31782

Prime Factorization of 31797

Now multiplying the highest exponent prime factors to calculate the LCM of 31782 and 31797.

LCM(31782,31797) = 2¹ × 3² × 5297¹ × 3533¹
LCM(31782,31797) = 336857418