What is the Least Common Multiple of 34398 and 34412?

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 34412 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 34412, than apply into the LCM equation.

GCF(34398,34412) = 14
LCM(34398,34412) = ( 34398 × 34412) / 14
LCM(34398,34412) = 1183703976 / 14
LCM(34398,34412) = 84550284

Least Common Multiple (LCM) of 34398 and 34412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34398 and 34412. First we will calculate the prime factors of 34398 and 34412.

Prime Factorization of 34398

Prime Factorization of 34412

Now multiplying the highest exponent prime factors to calculate the LCM of 34398 and 34412.

LCM(34398,34412) = 2² × 3³ × 7² × 13¹ × 1229¹
LCM(34398,34412) = 84550284