What is the Least Common Multiple of 14150 and 14170?

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 14150 and 14170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14150 and 14170, than apply into the LCM equation.

GCF(14150,14170) = 10
LCM(14150,14170) = ( 14150 × 14170) / 10
LCM(14150,14170) = 200505500 / 10
LCM(14150,14170) = 20050550

Least Common Multiple (LCM) of 14150 and 14170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14150 and 14170. First we will calculate the prime factors of 14150 and 14170.

Prime Factorization of 14150

Prime Factorization of 14170

Now multiplying the highest exponent prime factors to calculate the LCM of 14150 and 14170.

LCM(14150,14170) = 2¹ × 5² × 283¹ × 13¹ × 109¹
LCM(14150,14170) = 20050550