What is the Least Common Multiple of 28329 and 28348?

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 28329 and 28348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28329 and 28348, than apply into the LCM equation.

GCF(28329,28348) = 19
LCM(28329,28348) = ( 28329 × 28348) / 19
LCM(28329,28348) = 803070492 / 19
LCM(28329,28348) = 42266868

Least Common Multiple (LCM) of 28329 and 28348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28329 and 28348. First we will calculate the prime factors of 28329 and 28348.

Prime Factorization of 28329

Prime Factorization of 28348

Now multiplying the highest exponent prime factors to calculate the LCM of 28329 and 28348.

LCM(28329,28348) = 3¹ × 7¹ × 19¹ × 71¹ × 2² × 373¹
LCM(28329,28348) = 42266868