What is the Least Common Multiple of 11517 and 11528?

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 11517 and 11528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11517 and 11528, than apply into the LCM equation.

GCF(11517,11528) = 11
LCM(11517,11528) = ( 11517 × 11528) / 11
LCM(11517,11528) = 132767976 / 11
LCM(11517,11528) = 12069816

Least Common Multiple (LCM) of 11517 and 11528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11517 and 11528. First we will calculate the prime factors of 11517 and 11528.

Prime Factorization of 11517

Prime Factorization of 11528

Now multiplying the highest exponent prime factors to calculate the LCM of 11517 and 11528.

LCM(11517,11528) = 3¹ × 11¹ × 349¹ × 2³ × 131¹
LCM(11517,11528) = 12069816