What is the Least Common Multiple of 34467 and 34482?

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 34467 and 34482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34467 and 34482, than apply into the LCM equation.

GCF(34467,34482) = 3
LCM(34467,34482) = ( 34467 × 34482) / 3
LCM(34467,34482) = 1188491094 / 3
LCM(34467,34482) = 396163698

Least Common Multiple (LCM) of 34467 and 34482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34467 and 34482. First we will calculate the prime factors of 34467 and 34482.

Prime Factorization of 34467

Prime Factorization of 34482

Now multiplying the highest exponent prime factors to calculate the LCM of 34467 and 34482.

LCM(34467,34482) = 3¹ × 11489¹ × 2¹ × 7¹ × 821¹
LCM(34467,34482) = 396163698