What is the Least Common Multiple of 83517 and 83530?

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 83517 and 83530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83517 and 83530, than apply into the LCM equation.

GCF(83517,83530) = 1
LCM(83517,83530) = ( 83517 × 83530) / 1
LCM(83517,83530) = 6976175010 / 1
LCM(83517,83530) = 6976175010

Least Common Multiple (LCM) of 83517 and 83530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83517 and 83530. First we will calculate the prime factors of 83517 and 83530.

Prime Factorization of 83517

Prime Factorization of 83530

Now multiplying the highest exponent prime factors to calculate the LCM of 83517 and 83530.

LCM(83517,83530) = 3¹ × 7¹ × 41¹ × 97¹ × 2¹ × 5¹ × 8353¹
LCM(83517,83530) = 6976175010