What is the Least Common Multiple of 14140 and 14150?

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 14140 and 14150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14140 and 14150, than apply into the LCM equation.

GCF(14140,14150) = 10
LCM(14140,14150) = ( 14140 × 14150) / 10
LCM(14140,14150) = 200081000 / 10
LCM(14140,14150) = 20008100

Least Common Multiple (LCM) of 14140 and 14150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14140 and 14150. First we will calculate the prime factors of 14140 and 14150.

Prime Factorization of 14140

Prime Factorization of 14150

Now multiplying the highest exponent prime factors to calculate the LCM of 14140 and 14150.

LCM(14140,14150) = 2² × 5² × 7¹ × 101¹ × 283¹
LCM(14140,14150) = 20008100