What is the Least Common Multiple of 15423 and 15433?

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 15423 and 15433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15423 and 15433, than apply into the LCM equation.

GCF(15423,15433) = 1
LCM(15423,15433) = ( 15423 × 15433) / 1
LCM(15423,15433) = 238023159 / 1
LCM(15423,15433) = 238023159

Least Common Multiple (LCM) of 15423 and 15433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15423 and 15433. First we will calculate the prime factors of 15423 and 15433.

Prime Factorization of 15423

Prime Factorization of 15433

Now multiplying the highest exponent prime factors to calculate the LCM of 15423 and 15433.

LCM(15423,15433) = 3¹ × 53¹ × 97¹ × 11¹ × 23¹ × 61¹
LCM(15423,15433) = 238023159