What is the Least Common Multiple of 11544 and 11563?

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 11544 and 11563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11544 and 11563, than apply into the LCM equation.

GCF(11544,11563) = 1
LCM(11544,11563) = ( 11544 × 11563) / 1
LCM(11544,11563) = 133483272 / 1
LCM(11544,11563) = 133483272

Least Common Multiple (LCM) of 11544 and 11563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11544 and 11563. First we will calculate the prime factors of 11544 and 11563.

Prime Factorization of 11544

Prime Factorization of 11563

Now multiplying the highest exponent prime factors to calculate the LCM of 11544 and 11563.

LCM(11544,11563) = 2³ × 3¹ × 13¹ × 37¹ × 31¹ × 373¹
LCM(11544,11563) = 133483272