What is the Least Common Multiple of 81146 and 81164?

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 81146 and 81164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81146 and 81164, than apply into the LCM equation.

GCF(81146,81164) = 2
LCM(81146,81164) = ( 81146 × 81164) / 2
LCM(81146,81164) = 6586133944 / 2
LCM(81146,81164) = 3293066972

Least Common Multiple (LCM) of 81146 and 81164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81146 and 81164. First we will calculate the prime factors of 81146 and 81164.

Prime Factorization of 81146

Prime Factorization of 81164

Now multiplying the highest exponent prime factors to calculate the LCM of 81146 and 81164.

LCM(81146,81164) = 2² × 13¹ × 3121¹ × 103¹ × 197¹
LCM(81146,81164) = 3293066972