What is the Least Common Multiple of 11526 and 11543?

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 11526 and 11543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11526 and 11543, than apply into the LCM equation.

GCF(11526,11543) = 17
LCM(11526,11543) = ( 11526 × 11543) / 17
LCM(11526,11543) = 133044618 / 17
LCM(11526,11543) = 7826154

Least Common Multiple (LCM) of 11526 and 11543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11526 and 11543. First we will calculate the prime factors of 11526 and 11543.

Prime Factorization of 11526

Prime Factorization of 11543

Now multiplying the highest exponent prime factors to calculate the LCM of 11526 and 11543.

LCM(11526,11543) = 2¹ × 3¹ × 17¹ × 113¹ × 7¹ × 97¹
LCM(11526,11543) = 7826154