What is the Least Common Multiple of 28429 and 28441?

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 28429 and 28441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28429 and 28441, than apply into the LCM equation.

GCF(28429,28441) = 1
LCM(28429,28441) = ( 28429 × 28441) / 1
LCM(28429,28441) = 808549189 / 1
LCM(28429,28441) = 808549189

Least Common Multiple (LCM) of 28429 and 28441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28429 and 28441. First we will calculate the prime factors of 28429 and 28441.

Prime Factorization of 28429

Prime Factorization of 28441

Now multiplying the highest exponent prime factors to calculate the LCM of 28429 and 28441.

LCM(28429,28441) = 28429¹ × 7¹ × 17¹ × 239¹
LCM(28429,28441) = 808549189