What is the Least Common Multiple of 14187 and 14192?

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 14187 and 14192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14187 and 14192, than apply into the LCM equation.

GCF(14187,14192) = 1
LCM(14187,14192) = ( 14187 × 14192) / 1
LCM(14187,14192) = 201341904 / 1
LCM(14187,14192) = 201341904

Least Common Multiple (LCM) of 14187 and 14192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14187 and 14192. First we will calculate the prime factors of 14187 and 14192.

Prime Factorization of 14187

Prime Factorization of 14192

Now multiplying the highest exponent prime factors to calculate the LCM of 14187 and 14192.

LCM(14187,14192) = 3¹ × 4729¹ × 2⁴ × 887¹
LCM(14187,14192) = 201341904