What is the Least Common Multiple of 14230 and 14250?

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 14230 and 14250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14230 and 14250, than apply into the LCM equation.

GCF(14230,14250) = 10
LCM(14230,14250) = ( 14230 × 14250) / 10
LCM(14230,14250) = 202777500 / 10
LCM(14230,14250) = 20277750

Least Common Multiple (LCM) of 14230 and 14250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14230 and 14250. First we will calculate the prime factors of 14230 and 14250.

Prime Factorization of 14230

Prime Factorization of 14250

Now multiplying the highest exponent prime factors to calculate the LCM of 14230 and 14250.

LCM(14230,14250) = 2¹ × 5³ × 1423¹ × 3¹ × 19¹
LCM(14230,14250) = 20277750