What is the Least Common Multiple of 14172 and 14186?

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 14172 and 14186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14172 and 14186, than apply into the LCM equation.

GCF(14172,14186) = 2
LCM(14172,14186) = ( 14172 × 14186) / 2
LCM(14172,14186) = 201043992 / 2
LCM(14172,14186) = 100521996

Least Common Multiple (LCM) of 14172 and 14186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14172 and 14186. First we will calculate the prime factors of 14172 and 14186.

Prime Factorization of 14172

Prime Factorization of 14186

Now multiplying the highest exponent prime factors to calculate the LCM of 14172 and 14186.

LCM(14172,14186) = 2² × 3¹ × 1181¹ × 41¹ × 173¹
LCM(14172,14186) = 100521996