What is the Least Common Multiple of 81147 and 81156?

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 81147 and 81156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81147 and 81156, than apply into the LCM equation.

GCF(81147,81156) = 3
LCM(81147,81156) = ( 81147 × 81156) / 3
LCM(81147,81156) = 6585565932 / 3
LCM(81147,81156) = 2195188644

Least Common Multiple (LCM) of 81147 and 81156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81147 and 81156. First we will calculate the prime factors of 81147 and 81156.

Prime Factorization of 81147

Prime Factorization of 81156

Now multiplying the highest exponent prime factors to calculate the LCM of 81147 and 81156.

LCM(81147,81156) = 3¹ × 11¹ × 2459¹ × 2² × 6763¹
LCM(81147,81156) = 2195188644