What is the Least Common Multiple of 29394 and 29408?

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 29394 and 29408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29394 and 29408, than apply into the LCM equation.

GCF(29394,29408) = 2
LCM(29394,29408) = ( 29394 × 29408) / 2
LCM(29394,29408) = 864418752 / 2
LCM(29394,29408) = 432209376

Least Common Multiple (LCM) of 29394 and 29408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29394 and 29408. First we will calculate the prime factors of 29394 and 29408.

Prime Factorization of 29394

Prime Factorization of 29408

Now multiplying the highest exponent prime factors to calculate the LCM of 29394 and 29408.

LCM(29394,29408) = 2⁵ × 3² × 23¹ × 71¹ × 919¹
LCM(29394,29408) = 432209376