What is the Least Common Multiple of 28809 and 28824?

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 28809 and 28824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28809 and 28824, than apply into the LCM equation.

GCF(28809,28824) = 3
LCM(28809,28824) = ( 28809 × 28824) / 3
LCM(28809,28824) = 830390616 / 3
LCM(28809,28824) = 276796872

Least Common Multiple (LCM) of 28809 and 28824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28809 and 28824. First we will calculate the prime factors of 28809 and 28824.

Prime Factorization of 28809

Prime Factorization of 28824

Now multiplying the highest exponent prime factors to calculate the LCM of 28809 and 28824.

LCM(28809,28824) = 3³ × 11¹ × 97¹ × 2³ × 1201¹
LCM(28809,28824) = 276796872