What is the Least Common Multiple of 43146 and 43161?

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 43146 and 43161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43146 and 43161, than apply into the LCM equation.

GCF(43146,43161) = 3
LCM(43146,43161) = ( 43146 × 43161) / 3
LCM(43146,43161) = 1862224506 / 3
LCM(43146,43161) = 620741502

Least Common Multiple (LCM) of 43146 and 43161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43146 and 43161. First we will calculate the prime factors of 43146 and 43161.

Prime Factorization of 43146

Prime Factorization of 43161

Now multiplying the highest exponent prime factors to calculate the LCM of 43146 and 43161.

LCM(43146,43161) = 2¹ × 3³ × 17¹ × 47¹ × 14387¹
LCM(43146,43161) = 620741502