What is the Least Common Multiple of 81156 and 81171?

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 81156 and 81171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81156 and 81171, than apply into the LCM equation.

GCF(81156,81171) = 3
LCM(81156,81171) = ( 81156 × 81171) / 3
LCM(81156,81171) = 6587513676 / 3
LCM(81156,81171) = 2195837892

Least Common Multiple (LCM) of 81156 and 81171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81156 and 81171. First we will calculate the prime factors of 81156 and 81171.

Prime Factorization of 81156

Prime Factorization of 81171

Now multiplying the highest exponent prime factors to calculate the LCM of 81156 and 81171.

LCM(81156,81171) = 2² × 3² × 6763¹ × 29¹ × 311¹
LCM(81156,81171) = 2195837892