What is the Least Common Multiple of 34400 and 34404?

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 34400 and 34404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34400 and 34404, than apply into the LCM equation.

GCF(34400,34404) = 4
LCM(34400,34404) = ( 34400 × 34404) / 4
LCM(34400,34404) = 1183497600 / 4
LCM(34400,34404) = 295874400

Least Common Multiple (LCM) of 34400 and 34404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34400 and 34404. First we will calculate the prime factors of 34400 and 34404.

Prime Factorization of 34400

Prime Factorization of 34404

Now multiplying the highest exponent prime factors to calculate the LCM of 34400 and 34404.

LCM(34400,34404) = 2⁵ × 5² × 43¹ × 3¹ × 47¹ × 61¹
LCM(34400,34404) = 295874400