What is the Least Common Multiple of 14571 and 14580?

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 14571 and 14580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14571 and 14580, than apply into the LCM equation.

GCF(14571,14580) = 9
LCM(14571,14580) = ( 14571 × 14580) / 9
LCM(14571,14580) = 212445180 / 9
LCM(14571,14580) = 23605020

Least Common Multiple (LCM) of 14571 and 14580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14571 and 14580. First we will calculate the prime factors of 14571 and 14580.

Prime Factorization of 14571

Prime Factorization of 14580

Now multiplying the highest exponent prime factors to calculate the LCM of 14571 and 14580.

LCM(14571,14580) = 3⁶ × 1619¹ × 2² × 5¹
LCM(14571,14580) = 23605020