What is the Least Common Multiple of 14553 and 14569?

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 14553 and 14569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14553 and 14569, than apply into the LCM equation.

GCF(14553,14569) = 1
LCM(14553,14569) = ( 14553 × 14569) / 1
LCM(14553,14569) = 212022657 / 1
LCM(14553,14569) = 212022657

Least Common Multiple (LCM) of 14553 and 14569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14553 and 14569. First we will calculate the prime factors of 14553 and 14569.

Prime Factorization of 14553

Prime Factorization of 14569

Now multiplying the highest exponent prime factors to calculate the LCM of 14553 and 14569.

LCM(14553,14569) = 3³ × 7² × 11¹ × 17¹ × 857¹
LCM(14553,14569) = 212022657