What is the Least Common Multiple of 14121 and 14134?

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 14121 and 14134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14121 and 14134, than apply into the LCM equation.

GCF(14121,14134) = 1
LCM(14121,14134) = ( 14121 × 14134) / 1
LCM(14121,14134) = 199586214 / 1
LCM(14121,14134) = 199586214

Least Common Multiple (LCM) of 14121 and 14134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14121 and 14134. First we will calculate the prime factors of 14121 and 14134.

Prime Factorization of 14121

Prime Factorization of 14134

Now multiplying the highest exponent prime factors to calculate the LCM of 14121 and 14134.

LCM(14121,14134) = 3³ × 523¹ × 2¹ × 37¹ × 191¹
LCM(14121,14134) = 199586214