What is the Least Common Multiple of 82116 and 82131?

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 82116 and 82131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82116 and 82131, than apply into the LCM equation.

GCF(82116,82131) = 3
LCM(82116,82131) = ( 82116 × 82131) / 3
LCM(82116,82131) = 6744269196 / 3
LCM(82116,82131) = 2248089732

Least Common Multiple (LCM) of 82116 and 82131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82116 and 82131. First we will calculate the prime factors of 82116 and 82131.

Prime Factorization of 82116

Prime Factorization of 82131

Now multiplying the highest exponent prime factors to calculate the LCM of 82116 and 82131.

LCM(82116,82131) = 2² × 3² × 2281¹ × 7¹ × 3911¹
LCM(82116,82131) = 2248089732