What is the Least Common Multiple of 34506 and 34510?

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 34506 and 34510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34506 and 34510, than apply into the LCM equation.

GCF(34506,34510) = 2
LCM(34506,34510) = ( 34506 × 34510) / 2
LCM(34506,34510) = 1190802060 / 2
LCM(34506,34510) = 595401030

Least Common Multiple (LCM) of 34506 and 34510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34506 and 34510. First we will calculate the prime factors of 34506 and 34510.

Prime Factorization of 34506

Prime Factorization of 34510

Now multiplying the highest exponent prime factors to calculate the LCM of 34506 and 34510.

LCM(34506,34510) = 2¹ × 3⁵ × 71¹ × 5¹ × 7¹ × 17¹ × 29¹
LCM(34506,34510) = 595401030