What is the Least Common Multiple of 14146 and 14164?

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 14146 and 14164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14146 and 14164, than apply into the LCM equation.

GCF(14146,14164) = 2
LCM(14146,14164) = ( 14146 × 14164) / 2
LCM(14146,14164) = 200363944 / 2
LCM(14146,14164) = 100181972

Least Common Multiple (LCM) of 14146 and 14164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14146 and 14164. First we will calculate the prime factors of 14146 and 14164.

Prime Factorization of 14146

Prime Factorization of 14164

Now multiplying the highest exponent prime factors to calculate the LCM of 14146 and 14164.

LCM(14146,14164) = 2² × 11¹ × 643¹ × 3541¹
LCM(14146,14164) = 100181972