What is the Least Common Multiple of 11338 and 11346?

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 11338 and 11346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11338 and 11346, than apply into the LCM equation.

GCF(11338,11346) = 2
LCM(11338,11346) = ( 11338 × 11346) / 2
LCM(11338,11346) = 128640948 / 2
LCM(11338,11346) = 64320474

Least Common Multiple (LCM) of 11338 and 11346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11338 and 11346. First we will calculate the prime factors of 11338 and 11346.

Prime Factorization of 11338

Prime Factorization of 11346

Now multiplying the highest exponent prime factors to calculate the LCM of 11338 and 11346.

LCM(11338,11346) = 2¹ × 5669¹ × 3¹ × 31¹ × 61¹
LCM(11338,11346) = 64320474