What is the Least Common Multiple of 11265 and 11271?

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 11265 and 11271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11265 and 11271, than apply into the LCM equation.

GCF(11265,11271) = 3
LCM(11265,11271) = ( 11265 × 11271) / 3
LCM(11265,11271) = 126967815 / 3
LCM(11265,11271) = 42322605

Least Common Multiple (LCM) of 11265 and 11271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11265 and 11271. First we will calculate the prime factors of 11265 and 11271.

Prime Factorization of 11265

Prime Factorization of 11271

Now multiplying the highest exponent prime factors to calculate the LCM of 11265 and 11271.

LCM(11265,11271) = 3¹ × 5¹ × 751¹ × 13¹ × 17²
LCM(11265,11271) = 42322605