What is the Least Common Multiple of 29400 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 29400 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 29400 and 29408, than apply into the LCM equation.

GCF(29400,29408) = 8
LCM(29400,29408) = ( 29400 × 29408) / 8
LCM(29400,29408) = 864595200 / 8
LCM(29400,29408) = 108074400

Least Common Multiple (LCM) of 29400 and 29408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29400 and 29408. First we will calculate the prime factors of 29400 and 29408.

Prime Factorization of 29400

Prime Factorization of 29408

Now multiplying the highest exponent prime factors to calculate the LCM of 29400 and 29408.

LCM(29400,29408) = 2⁵ × 3¹ × 5² × 7² × 919¹
LCM(29400,29408) = 108074400