What is the Least Common Multiple of 14260 and 14270?

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 14260 and 14270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14260 and 14270, than apply into the LCM equation.

GCF(14260,14270) = 10
LCM(14260,14270) = ( 14260 × 14270) / 10
LCM(14260,14270) = 203490200 / 10
LCM(14260,14270) = 20349020

Least Common Multiple (LCM) of 14260 and 14270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14260 and 14270. First we will calculate the prime factors of 14260 and 14270.

Prime Factorization of 14260

Prime Factorization of 14270

Now multiplying the highest exponent prime factors to calculate the LCM of 14260 and 14270.

LCM(14260,14270) = 2² × 5¹ × 23¹ × 31¹ × 1427¹
LCM(14260,14270) = 20349020