What is the Least Common Multiple of 34500 and 34517?

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 34500 and 34517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34500 and 34517, than apply into the LCM equation.

GCF(34500,34517) = 1
LCM(34500,34517) = ( 34500 × 34517) / 1
LCM(34500,34517) = 1190836500 / 1
LCM(34500,34517) = 1190836500

Least Common Multiple (LCM) of 34500 and 34517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34500 and 34517. First we will calculate the prime factors of 34500 and 34517.

Prime Factorization of 34500

Prime Factorization of 34517

Now multiplying the highest exponent prime factors to calculate the LCM of 34500 and 34517.

LCM(34500,34517) = 2² × 3¹ × 5³ × 23¹ × 7¹ × 4931¹
LCM(34500,34517) = 1190836500