What is the Least Common Multiple of 28818 and 28832?

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 28818 and 28832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28818 and 28832, than apply into the LCM equation.

GCF(28818,28832) = 2
LCM(28818,28832) = ( 28818 × 28832) / 2
LCM(28818,28832) = 830880576 / 2
LCM(28818,28832) = 415440288

Least Common Multiple (LCM) of 28818 and 28832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28818 and 28832. First we will calculate the prime factors of 28818 and 28832.

Prime Factorization of 28818

Prime Factorization of 28832

Now multiplying the highest exponent prime factors to calculate the LCM of 28818 and 28832.

LCM(28818,28832) = 2⁵ × 3² × 1601¹ × 17¹ × 53¹
LCM(28818,28832) = 415440288