What is the Least Common Multiple of 28407 and 28416?

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 28407 and 28416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28407 and 28416, than apply into the LCM equation.

GCF(28407,28416) = 3
LCM(28407,28416) = ( 28407 × 28416) / 3
LCM(28407,28416) = 807213312 / 3
LCM(28407,28416) = 269071104

Least Common Multiple (LCM) of 28407 and 28416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28407 and 28416. First we will calculate the prime factors of 28407 and 28416.

Prime Factorization of 28407

Prime Factorization of 28416

Now multiplying the highest exponent prime factors to calculate the LCM of 28407 and 28416.

LCM(28407,28416) = 3¹ × 17¹ × 557¹ × 2⁸ × 37¹
LCM(28407,28416) = 269071104