What is the Least Common Multiple of 11547 and 11565?

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 11547 and 11565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11547 and 11565, than apply into the LCM equation.

GCF(11547,11565) = 9
LCM(11547,11565) = ( 11547 × 11565) / 9
LCM(11547,11565) = 133541055 / 9
LCM(11547,11565) = 14837895

Least Common Multiple (LCM) of 11547 and 11565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11547 and 11565. First we will calculate the prime factors of 11547 and 11565.

Prime Factorization of 11547

Prime Factorization of 11565

Now multiplying the highest exponent prime factors to calculate the LCM of 11547 and 11565.

LCM(11547,11565) = 3² × 1283¹ × 5¹ × 257¹
LCM(11547,11565) = 14837895