What is the Least Common Multiple of 11355 and 11375?

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 11355 and 11375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11355 and 11375, than apply into the LCM equation.

GCF(11355,11375) = 5
LCM(11355,11375) = ( 11355 × 11375) / 5
LCM(11355,11375) = 129163125 / 5
LCM(11355,11375) = 25832625

Least Common Multiple (LCM) of 11355 and 11375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11355 and 11375. First we will calculate the prime factors of 11355 and 11375.

Prime Factorization of 11355

Prime Factorization of 11375

Now multiplying the highest exponent prime factors to calculate the LCM of 11355 and 11375.

LCM(11355,11375) = 3¹ × 5³ × 757¹ × 7¹ × 13¹
LCM(11355,11375) = 25832625