What is the Least Common Multiple of 14151 and 14169?

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 14151 and 14169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14151 and 14169, than apply into the LCM equation.

GCF(14151,14169) = 3
LCM(14151,14169) = ( 14151 × 14169) / 3
LCM(14151,14169) = 200505519 / 3
LCM(14151,14169) = 66835173

Least Common Multiple (LCM) of 14151 and 14169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14151 and 14169. First we will calculate the prime factors of 14151 and 14169.

Prime Factorization of 14151

Prime Factorization of 14169

Now multiplying the highest exponent prime factors to calculate the LCM of 14151 and 14169.

LCM(14151,14169) = 3¹ × 53¹ × 89¹ × 4723¹
LCM(14151,14169) = 66835173