What is the Least Common Multiple of 34338 and 34346?

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 34346 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 34346, than apply into the LCM equation.

GCF(34338,34346) = 2
LCM(34338,34346) = ( 34338 × 34346) / 2
LCM(34338,34346) = 1179372948 / 2
LCM(34338,34346) = 589686474

Least Common Multiple (LCM) of 34338 and 34346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34338 and 34346. First we will calculate the prime factors of 34338 and 34346.

Prime Factorization of 34338

Prime Factorization of 34346

Now multiplying the highest exponent prime factors to calculate the LCM of 34338 and 34346.

LCM(34338,34346) = 2¹ × 3¹ × 59¹ × 97¹ × 13¹ × 1321¹
LCM(34338,34346) = 589686474