What is the Least Common Multiple of 14158 and 14172?

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 14158 and 14172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14158 and 14172, than apply into the LCM equation.

GCF(14158,14172) = 2
LCM(14158,14172) = ( 14158 × 14172) / 2
LCM(14158,14172) = 200647176 / 2
LCM(14158,14172) = 100323588

Least Common Multiple (LCM) of 14158 and 14172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14158 and 14172. First we will calculate the prime factors of 14158 and 14172.

Prime Factorization of 14158

Prime Factorization of 14172

Now multiplying the highest exponent prime factors to calculate the LCM of 14158 and 14172.

LCM(14158,14172) = 2² × 7079¹ × 3¹ × 1181¹
LCM(14158,14172) = 100323588