What is the Least Common Multiple of 14554 and 14571?

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 14554 and 14571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14554 and 14571, than apply into the LCM equation.

GCF(14554,14571) = 1
LCM(14554,14571) = ( 14554 × 14571) / 1
LCM(14554,14571) = 212066334 / 1
LCM(14554,14571) = 212066334

Least Common Multiple (LCM) of 14554 and 14571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14554 and 14571. First we will calculate the prime factors of 14554 and 14571.

Prime Factorization of 14554

Prime Factorization of 14571

Now multiplying the highest exponent prime factors to calculate the LCM of 14554 and 14571.

LCM(14554,14571) = 2¹ × 19¹ × 383¹ × 3² × 1619¹
LCM(14554,14571) = 212066334