What is the Least Common Multiple of 15338 and 15343?

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 15338 and 15343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15338 and 15343, than apply into the LCM equation.

GCF(15338,15343) = 1
LCM(15338,15343) = ( 15338 × 15343) / 1
LCM(15338,15343) = 235330934 / 1
LCM(15338,15343) = 235330934

Least Common Multiple (LCM) of 15338 and 15343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15338 and 15343. First we will calculate the prime factors of 15338 and 15343.

Prime Factorization of 15338

Prime Factorization of 15343

Now multiplying the highest exponent prime factors to calculate the LCM of 15338 and 15343.

LCM(15338,15343) = 2¹ × 7669¹ × 67¹ × 229¹
LCM(15338,15343) = 235330934