What is the Least Common Multiple of 81132 and 81138?

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 81132 and 81138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81132 and 81138, than apply into the LCM equation.

GCF(81132,81138) = 6
LCM(81132,81138) = ( 81132 × 81138) / 6
LCM(81132,81138) = 6582888216 / 6
LCM(81132,81138) = 1097148036

Least Common Multiple (LCM) of 81132 and 81138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81132 and 81138. First we will calculate the prime factors of 81132 and 81138.

Prime Factorization of 81132

Prime Factorization of 81138

Now multiplying the highest exponent prime factors to calculate the LCM of 81132 and 81138.

LCM(81132,81138) = 2² × 3¹ × 6761¹ × 13523¹
LCM(81132,81138) = 1097148036