What is the Least Common Multiple of 14500 and 14517?

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 14500 and 14517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14500 and 14517, than apply into the LCM equation.

GCF(14500,14517) = 1
LCM(14500,14517) = ( 14500 × 14517) / 1
LCM(14500,14517) = 210496500 / 1
LCM(14500,14517) = 210496500

Least Common Multiple (LCM) of 14500 and 14517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14500 and 14517. First we will calculate the prime factors of 14500 and 14517.

Prime Factorization of 14500

Prime Factorization of 14517

Now multiplying the highest exponent prime factors to calculate the LCM of 14500 and 14517.

LCM(14500,14517) = 2² × 5³ × 29¹ × 3² × 1613¹
LCM(14500,14517) = 210496500