What is the Least Common Multiple of 11293 and 11311?

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 11293 and 11311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11293 and 11311, than apply into the LCM equation.

GCF(11293,11311) = 1
LCM(11293,11311) = ( 11293 × 11311) / 1
LCM(11293,11311) = 127735123 / 1
LCM(11293,11311) = 127735123

Least Common Multiple (LCM) of 11293 and 11311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11293 and 11311. First we will calculate the prime factors of 11293 and 11311.

Prime Factorization of 11293

Prime Factorization of 11311

Now multiplying the highest exponent prime factors to calculate the LCM of 11293 and 11311.

LCM(11293,11311) = 23¹ × 491¹ × 11311¹
LCM(11293,11311) = 127735123