What is the Least Common Multiple of 34398 and 34406?

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 34406 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 34406, than apply into the LCM equation.

GCF(34398,34406) = 2
LCM(34398,34406) = ( 34398 × 34406) / 2
LCM(34398,34406) = 1183497588 / 2
LCM(34398,34406) = 591748794

Least Common Multiple (LCM) of 34398 and 34406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34398 and 34406. First we will calculate the prime factors of 34398 and 34406.

Prime Factorization of 34398

Prime Factorization of 34406

Now multiplying the highest exponent prime factors to calculate the LCM of 34398 and 34406.

LCM(34398,34406) = 2¹ × 3³ × 7² × 13¹ × 17203¹
LCM(34398,34406) = 591748794