What is the Least Common Multiple of 81171 and 81188?

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 81188 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 81188, than apply into the LCM equation.

GCF(81171,81188) = 1
LCM(81171,81188) = ( 81171 × 81188) / 1
LCM(81171,81188) = 6590111148 / 1
LCM(81171,81188) = 6590111148

Least Common Multiple (LCM) of 81171 and 81188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81171 and 81188. First we will calculate the prime factors of 81171 and 81188.

Prime Factorization of 81171

Prime Factorization of 81188

Now multiplying the highest exponent prime factors to calculate the LCM of 81171 and 81188.

LCM(81171,81188) = 3² × 29¹ × 311¹ × 2² × 20297¹
LCM(81171,81188) = 6590111148