What is the Least Common Multiple of 14580 and 14594?

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 14580 and 14594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14580 and 14594, than apply into the LCM equation.

GCF(14580,14594) = 2
LCM(14580,14594) = ( 14580 × 14594) / 2
LCM(14580,14594) = 212780520 / 2
LCM(14580,14594) = 106390260

Least Common Multiple (LCM) of 14580 and 14594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14580 and 14594. First we will calculate the prime factors of 14580 and 14594.

Prime Factorization of 14580

Prime Factorization of 14594

Now multiplying the highest exponent prime factors to calculate the LCM of 14580 and 14594.

LCM(14580,14594) = 2² × 3⁶ × 5¹ × 7297¹
LCM(14580,14594) = 106390260