What is the Least Common Multiple of 15336 and 15341?

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 15336 and 15341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15336 and 15341, than apply into the LCM equation.

GCF(15336,15341) = 1
LCM(15336,15341) = ( 15336 × 15341) / 1
LCM(15336,15341) = 235269576 / 1
LCM(15336,15341) = 235269576

Least Common Multiple (LCM) of 15336 and 15341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15336 and 15341. First we will calculate the prime factors of 15336 and 15341.

Prime Factorization of 15336

Prime Factorization of 15341

Now multiplying the highest exponent prime factors to calculate the LCM of 15336 and 15341.

LCM(15336,15341) = 2³ × 3³ × 71¹ × 23² × 29¹
LCM(15336,15341) = 235269576