What is the Least Common Multiple of 11279 and 11293?

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 11279 and 11293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11279 and 11293, than apply into the LCM equation.

GCF(11279,11293) = 1
LCM(11279,11293) = ( 11279 × 11293) / 1
LCM(11279,11293) = 127373747 / 1
LCM(11279,11293) = 127373747

Least Common Multiple (LCM) of 11279 and 11293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11279 and 11293. First we will calculate the prime factors of 11279 and 11293.

Prime Factorization of 11279

Prime Factorization of 11293

Now multiplying the highest exponent prime factors to calculate the LCM of 11279 and 11293.

LCM(11279,11293) = 11279¹ × 23¹ × 491¹
LCM(11279,11293) = 127373747