What is the Least Common Multiple of 14250 and 14269?

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 14269 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 14269, than apply into the LCM equation.

GCF(14250,14269) = 19
LCM(14250,14269) = ( 14250 × 14269) / 19
LCM(14250,14269) = 203333250 / 19
LCM(14250,14269) = 10701750

Least Common Multiple (LCM) of 14250 and 14269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14250 and 14269. First we will calculate the prime factors of 14250 and 14269.

Prime Factorization of 14250

Prime Factorization of 14269

Now multiplying the highest exponent prime factors to calculate the LCM of 14250 and 14269.

LCM(14250,14269) = 2¹ × 3¹ × 5³ × 19¹ × 751¹
LCM(14250,14269) = 10701750