What is the Least Common Multiple of 31716 and 31731?

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 31716 and 31731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31716 and 31731, than apply into the LCM equation.

GCF(31716,31731) = 3
LCM(31716,31731) = ( 31716 × 31731) / 3
LCM(31716,31731) = 1006380396 / 3
LCM(31716,31731) = 335460132

Least Common Multiple (LCM) of 31716 and 31731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31716 and 31731. First we will calculate the prime factors of 31716 and 31731.

Prime Factorization of 31716

Prime Factorization of 31731

Now multiplying the highest exponent prime factors to calculate the LCM of 31716 and 31731.

LCM(31716,31731) = 2² × 3² × 881¹ × 7¹ × 1511¹
LCM(31716,31731) = 335460132