What is the Least Common Multiple of 40716 and 40731?

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 40716 and 40731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40716 and 40731, than apply into the LCM equation.

GCF(40716,40731) = 3
LCM(40716,40731) = ( 40716 × 40731) / 3
LCM(40716,40731) = 1658403396 / 3
LCM(40716,40731) = 552801132

Least Common Multiple (LCM) of 40716 and 40731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40716 and 40731. First we will calculate the prime factors of 40716 and 40731.

Prime Factorization of 40716

Prime Factorization of 40731

Now multiplying the highest exponent prime factors to calculate the LCM of 40716 and 40731.

LCM(40716,40731) = 2² × 3³ × 13¹ × 29¹ × 13577¹
LCM(40716,40731) = 552801132