What is the Least Common Multiple of 29808 and 29818?

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 29808 and 29818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29808 and 29818, than apply into the LCM equation.

GCF(29808,29818) = 2
LCM(29808,29818) = ( 29808 × 29818) / 2
LCM(29808,29818) = 888814944 / 2
LCM(29808,29818) = 444407472

Least Common Multiple (LCM) of 29808 and 29818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29808 and 29818. First we will calculate the prime factors of 29808 and 29818.

Prime Factorization of 29808

Prime Factorization of 29818

Now multiplying the highest exponent prime factors to calculate the LCM of 29808 and 29818.

LCM(29808,29818) = 2⁴ × 3⁴ × 23¹ × 17¹ × 877¹
LCM(29808,29818) = 444407472