What is the Least Common Multiple of 28794 and 28812?

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 28794 and 28812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28794 and 28812, than apply into the LCM equation.

GCF(28794,28812) = 6
LCM(28794,28812) = ( 28794 × 28812) / 6
LCM(28794,28812) = 829612728 / 6
LCM(28794,28812) = 138268788

Least Common Multiple (LCM) of 28794 and 28812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28794 and 28812. First we will calculate the prime factors of 28794 and 28812.

Prime Factorization of 28794

Prime Factorization of 28812

Now multiplying the highest exponent prime factors to calculate the LCM of 28794 and 28812.

LCM(28794,28812) = 2² × 3¹ × 4799¹ × 7⁴
LCM(28794,28812) = 138268788