What is the Least Common Multiple of 14184 and 14201?

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 14184 and 14201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14184 and 14201, than apply into the LCM equation.

GCF(14184,14201) = 1
LCM(14184,14201) = ( 14184 × 14201) / 1
LCM(14184,14201) = 201426984 / 1
LCM(14184,14201) = 201426984

Least Common Multiple (LCM) of 14184 and 14201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14184 and 14201. First we will calculate the prime factors of 14184 and 14201.

Prime Factorization of 14184

Prime Factorization of 14201

Now multiplying the highest exponent prime factors to calculate the LCM of 14184 and 14201.

LCM(14184,14201) = 2³ × 3² × 197¹ × 11¹ × 1291¹
LCM(14184,14201) = 201426984