What is the Least Common Multiple of 28395 and 28407?

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 28395 and 28407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28395 and 28407, than apply into the LCM equation.

GCF(28395,28407) = 3
LCM(28395,28407) = ( 28395 × 28407) / 3
LCM(28395,28407) = 806616765 / 3
LCM(28395,28407) = 268872255

Least Common Multiple (LCM) of 28395 and 28407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28395 and 28407. First we will calculate the prime factors of 28395 and 28407.

Prime Factorization of 28395

Prime Factorization of 28407

Now multiplying the highest exponent prime factors to calculate the LCM of 28395 and 28407.

LCM(28395,28407) = 3² × 5¹ × 631¹ × 17¹ × 557¹
LCM(28395,28407) = 268872255