What is the Least Common Multiple of 11269 and 11289?

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 11269 and 11289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11269 and 11289, than apply into the LCM equation.

GCF(11269,11289) = 1
LCM(11269,11289) = ( 11269 × 11289) / 1
LCM(11269,11289) = 127215741 / 1
LCM(11269,11289) = 127215741

Least Common Multiple (LCM) of 11269 and 11289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11269 and 11289. First we will calculate the prime factors of 11269 and 11289.

Prime Factorization of 11269

Prime Factorization of 11289

Now multiplying the highest exponent prime factors to calculate the LCM of 11269 and 11289.

LCM(11269,11289) = 59¹ × 191¹ × 3¹ × 53¹ × 71¹
LCM(11269,11289) = 127215741