What is the Least Common Multiple of 11517 and 11531?

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 11531 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 11531, than apply into the LCM equation.

GCF(11517,11531) = 1
LCM(11517,11531) = ( 11517 × 11531) / 1
LCM(11517,11531) = 132802527 / 1
LCM(11517,11531) = 132802527

Least Common Multiple (LCM) of 11517 and 11531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11517 and 11531. First we will calculate the prime factors of 11517 and 11531.

Prime Factorization of 11517

Prime Factorization of 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 11517 and 11531.

LCM(11517,11531) = 3¹ × 11¹ × 349¹ × 13¹ × 887¹
LCM(11517,11531) = 132802527