What is the Least Common Multiple of 14147 and 14166?

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 14147 and 14166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14147 and 14166, than apply into the LCM equation.

GCF(14147,14166) = 1
LCM(14147,14166) = ( 14147 × 14166) / 1
LCM(14147,14166) = 200406402 / 1
LCM(14147,14166) = 200406402

Least Common Multiple (LCM) of 14147 and 14166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14147 and 14166. First we will calculate the prime factors of 14147 and 14166.

Prime Factorization of 14147

Prime Factorization of 14166

Now multiplying the highest exponent prime factors to calculate the LCM of 14147 and 14166.

LCM(14147,14166) = 7¹ × 43¹ × 47¹ × 2¹ × 3² × 787¹
LCM(14147,14166) = 200406402