What is the Least Common Multiple of 34491 and 34506?

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 34491 and 34506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34491 and 34506, than apply into the LCM equation.

GCF(34491,34506) = 3
LCM(34491,34506) = ( 34491 × 34506) / 3
LCM(34491,34506) = 1190146446 / 3
LCM(34491,34506) = 396715482

Least Common Multiple (LCM) of 34491 and 34506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34491 and 34506. First we will calculate the prime factors of 34491 and 34506.

Prime Factorization of 34491

Prime Factorization of 34506

Now multiplying the highest exponent prime factors to calculate the LCM of 34491 and 34506.

LCM(34491,34506) = 3⁵ × 11497¹ × 2¹ × 71¹
LCM(34491,34506) = 396715482