What is the Least Common Multiple of 81171 and 81186?

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 81171 and 81186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81171 and 81186, than apply into the LCM equation.

GCF(81171,81186) = 3
LCM(81171,81186) = ( 81171 × 81186) / 3
LCM(81171,81186) = 6589948806 / 3
LCM(81171,81186) = 2196649602

Least Common Multiple (LCM) of 81171 and 81186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81171 and 81186. First we will calculate the prime factors of 81171 and 81186.

Prime Factorization of 81171

Prime Factorization of 81186

Now multiplying the highest exponent prime factors to calculate the LCM of 81171 and 81186.

LCM(81171,81186) = 3² × 29¹ × 311¹ × 2¹ × 7¹ × 1933¹
LCM(81171,81186) = 2196649602