What is the Least Common Multiple of 34338 and 34347?

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 34338 and 34347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34338 and 34347, than apply into the LCM equation.

GCF(34338,34347) = 3
LCM(34338,34347) = ( 34338 × 34347) / 3
LCM(34338,34347) = 1179407286 / 3
LCM(34338,34347) = 393135762

Least Common Multiple (LCM) of 34338 and 34347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34338 and 34347. First we will calculate the prime factors of 34338 and 34347.

Prime Factorization of 34338

Prime Factorization of 34347

Now multiplying the highest exponent prime factors to calculate the LCM of 34338 and 34347.

LCM(34338,34347) = 2¹ × 3¹ × 59¹ × 97¹ × 107²
LCM(34338,34347) = 393135762