What is the Least Common Multiple of 59400 and 59409?

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 59400 and 59409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59400 and 59409, than apply into the LCM equation.

GCF(59400,59409) = 9
LCM(59400,59409) = ( 59400 × 59409) / 9
LCM(59400,59409) = 3528894600 / 9
LCM(59400,59409) = 392099400

Least Common Multiple (LCM) of 59400 and 59409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59400 and 59409. First we will calculate the prime factors of 59400 and 59409.

Prime Factorization of 59400

Prime Factorization of 59409

Now multiplying the highest exponent prime factors to calculate the LCM of 59400 and 59409.

LCM(59400,59409) = 2³ × 3³ × 5² × 11¹ × 7¹ × 23¹ × 41¹
LCM(59400,59409) = 392099400