What is the Least Common Multiple of 28824 and 28836?

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 28824 and 28836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28824 and 28836, than apply into the LCM equation.

GCF(28824,28836) = 12
LCM(28824,28836) = ( 28824 × 28836) / 12
LCM(28824,28836) = 831168864 / 12
LCM(28824,28836) = 69264072

Least Common Multiple (LCM) of 28824 and 28836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28824 and 28836. First we will calculate the prime factors of 28824 and 28836.

Prime Factorization of 28824

Prime Factorization of 28836

Now multiplying the highest exponent prime factors to calculate the LCM of 28824 and 28836.

LCM(28824,28836) = 2³ × 3⁴ × 1201¹ × 89¹
LCM(28824,28836) = 69264072