What is the Least Common Multiple of 81169 and 81189?

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 81169 and 81189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81169 and 81189, than apply into the LCM equation.

GCF(81169,81189) = 1
LCM(81169,81189) = ( 81169 × 81189) / 1
LCM(81169,81189) = 6590029941 / 1
LCM(81169,81189) = 6590029941

Least Common Multiple (LCM) of 81169 and 81189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81169 and 81189. First we will calculate the prime factors of 81169 and 81189.

Prime Factorization of 81169

Prime Factorization of 81189

Now multiplying the highest exponent prime factors to calculate the LCM of 81169 and 81189.

LCM(81169,81189) = 11¹ × 47¹ × 157¹ × 3³ × 31¹ × 97¹
LCM(81169,81189) = 6590029941