What is the Least Common Multiple of 83508 and 83517?

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 83508 and 83517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83508 and 83517, than apply into the LCM equation.

GCF(83508,83517) = 3
LCM(83508,83517) = ( 83508 × 83517) / 3
LCM(83508,83517) = 6974337636 / 3
LCM(83508,83517) = 2324779212

Least Common Multiple (LCM) of 83508 and 83517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83508 and 83517. First we will calculate the prime factors of 83508 and 83517.

Prime Factorization of 83508

Prime Factorization of 83517

Now multiplying the highest exponent prime factors to calculate the LCM of 83508 and 83517.

LCM(83508,83517) = 2² × 3¹ × 6959¹ × 7¹ × 41¹ × 97¹
LCM(83508,83517) = 2324779212