What is the Least Common Multiple of 28329 and 28343?

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 28343 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 28343, than apply into the LCM equation.

GCF(28329,28343) = 7
LCM(28329,28343) = ( 28329 × 28343) / 7
LCM(28329,28343) = 802928847 / 7
LCM(28329,28343) = 114704121

Least Common Multiple (LCM) of 28329 and 28343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28329 and 28343. First we will calculate the prime factors of 28329 and 28343.

Prime Factorization of 28329

Prime Factorization of 28343

Now multiplying the highest exponent prime factors to calculate the LCM of 28329 and 28343.

LCM(28329,28343) = 3¹ × 7¹ × 19¹ × 71¹ × 4049¹
LCM(28329,28343) = 114704121