What is the Least Common Multiple of 34398 and 34409?

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 34398 and 34409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34398 and 34409, than apply into the LCM equation.

GCF(34398,34409) = 1
LCM(34398,34409) = ( 34398 × 34409) / 1
LCM(34398,34409) = 1183600782 / 1
LCM(34398,34409) = 1183600782

Least Common Multiple (LCM) of 34398 and 34409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34398 and 34409. First we will calculate the prime factors of 34398 and 34409.

Prime Factorization of 34398

Prime Factorization of 34409

Now multiplying the highest exponent prime factors to calculate the LCM of 34398 and 34409.

LCM(34398,34409) = 2¹ × 3³ × 7² × 13¹ × 19¹ × 1811¹
LCM(34398,34409) = 1183600782