What is the Least Common Multiple of 68400 and 68404?

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 68400 and 68404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68400 and 68404, than apply into the LCM equation.

GCF(68400,68404) = 4
LCM(68400,68404) = ( 68400 × 68404) / 4
LCM(68400,68404) = 4678833600 / 4
LCM(68400,68404) = 1169708400

Least Common Multiple (LCM) of 68400 and 68404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68400 and 68404. First we will calculate the prime factors of 68400 and 68404.

Prime Factorization of 68400

Prime Factorization of 68404

Now multiplying the highest exponent prime factors to calculate the LCM of 68400 and 68404.

LCM(68400,68404) = 2⁴ × 3² × 5² × 19¹ × 7² × 349¹
LCM(68400,68404) = 1169708400