What is the Least Common Multiple of 29793 and 29808?

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 29793 and 29808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29793 and 29808, than apply into the LCM equation.

GCF(29793,29808) = 3
LCM(29793,29808) = ( 29793 × 29808) / 3
LCM(29793,29808) = 888069744 / 3
LCM(29793,29808) = 296023248

Least Common Multiple (LCM) of 29793 and 29808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29793 and 29808. First we will calculate the prime factors of 29793 and 29808.

Prime Factorization of 29793

Prime Factorization of 29808

Now multiplying the highest exponent prime factors to calculate the LCM of 29793 and 29808.

LCM(29793,29808) = 3⁴ × 9931¹ × 2⁴ × 23¹
LCM(29793,29808) = 296023248