What is the Least Common Multiple of 14250 and 14258?

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 14250 and 14258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14250 and 14258, than apply into the LCM equation.

GCF(14250,14258) = 2
LCM(14250,14258) = ( 14250 × 14258) / 2
LCM(14250,14258) = 203176500 / 2
LCM(14250,14258) = 101588250

Least Common Multiple (LCM) of 14250 and 14258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14250 and 14258. First we will calculate the prime factors of 14250 and 14258.

Prime Factorization of 14250

Prime Factorization of 14258

Now multiplying the highest exponent prime factors to calculate the LCM of 14250 and 14258.

LCM(14250,14258) = 2¹ × 3¹ × 5³ × 19¹ × 7129¹
LCM(14250,14258) = 101588250