What is the Least Common Multiple of 88794 and 88812?

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 88794 and 88812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88794 and 88812, than apply into the LCM equation.

GCF(88794,88812) = 18
LCM(88794,88812) = ( 88794 × 88812) / 18
LCM(88794,88812) = 7885972728 / 18
LCM(88794,88812) = 438109596

Least Common Multiple (LCM) of 88794 and 88812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88794 and 88812. First we will calculate the prime factors of 88794 and 88812.

Prime Factorization of 88794

Prime Factorization of 88812

Now multiplying the highest exponent prime factors to calculate the LCM of 88794 and 88812.

LCM(88794,88812) = 2² × 3² × 4933¹ × 2467¹
LCM(88794,88812) = 438109596