What is the Least Common Multiple of 11341 and 11359?

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 11341 and 11359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11341 and 11359, than apply into the LCM equation.

GCF(11341,11359) = 1
LCM(11341,11359) = ( 11341 × 11359) / 1
LCM(11341,11359) = 128822419 / 1
LCM(11341,11359) = 128822419

Least Common Multiple (LCM) of 11341 and 11359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11341 and 11359. First we will calculate the prime factors of 11341 and 11359.

Prime Factorization of 11341

Prime Factorization of 11359

Now multiplying the highest exponent prime factors to calculate the LCM of 11341 and 11359.

LCM(11341,11359) = 11¹ × 1031¹ × 37¹ × 307¹
LCM(11341,11359) = 128822419