What is the Least Common Multiple of 29808 and 29817?

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 29817 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 29817, than apply into the LCM equation.

GCF(29808,29817) = 9
LCM(29808,29817) = ( 29808 × 29817) / 9
LCM(29808,29817) = 888785136 / 9
LCM(29808,29817) = 98753904

Least Common Multiple (LCM) of 29808 and 29817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29808 and 29817. First we will calculate the prime factors of 29808 and 29817.

Prime Factorization of 29808

Prime Factorization of 29817

Now multiplying the highest exponent prime factors to calculate the LCM of 29808 and 29817.

LCM(29808,29817) = 2⁴ × 3⁴ × 23¹ × 3313¹
LCM(29808,29817) = 98753904