What is the Least Common Multiple of 14124 and 14142?

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 14124 and 14142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14124 and 14142, than apply into the LCM equation.

GCF(14124,14142) = 6
LCM(14124,14142) = ( 14124 × 14142) / 6
LCM(14124,14142) = 199741608 / 6
LCM(14124,14142) = 33290268

Least Common Multiple (LCM) of 14124 and 14142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14124 and 14142. First we will calculate the prime factors of 14124 and 14142.

Prime Factorization of 14124

Prime Factorization of 14142

Now multiplying the highest exponent prime factors to calculate the LCM of 14124 and 14142.

LCM(14124,14142) = 2² × 3¹ × 11¹ × 107¹ × 2357¹
LCM(14124,14142) = 33290268