What is the Least Common Multiple of 11565 and 11585?

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 11565 and 11585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11565 and 11585, than apply into the LCM equation.

GCF(11565,11585) = 5
LCM(11565,11585) = ( 11565 × 11585) / 5
LCM(11565,11585) = 133980525 / 5
LCM(11565,11585) = 26796105

Least Common Multiple (LCM) of 11565 and 11585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11565 and 11585. First we will calculate the prime factors of 11565 and 11585.

Prime Factorization of 11565

Prime Factorization of 11585

Now multiplying the highest exponent prime factors to calculate the LCM of 11565 and 11585.

LCM(11565,11585) = 3² × 5¹ × 257¹ × 7¹ × 331¹
LCM(11565,11585) = 26796105