What is the Least Common Multiple of 82716 and 82731?

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 82716 and 82731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82716 and 82731, than apply into the LCM equation.

GCF(82716,82731) = 3
LCM(82716,82731) = ( 82716 × 82731) / 3
LCM(82716,82731) = 6843177396 / 3
LCM(82716,82731) = 2281059132

Least Common Multiple (LCM) of 82716 and 82731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82716 and 82731. First we will calculate the prime factors of 82716 and 82731.

Prime Factorization of 82716

Prime Factorization of 82731

Now multiplying the highest exponent prime factors to calculate the LCM of 82716 and 82731.

LCM(82716,82731) = 2² × 3¹ × 61¹ × 113¹ × 11¹ × 23¹ × 109¹
LCM(82716,82731) = 2281059132