What is the Least Common Multiple of 96509 and 96517?

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 96509 and 96517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96509 and 96517, than apply into the LCM equation.

GCF(96509,96517) = 1
LCM(96509,96517) = ( 96509 × 96517) / 1
LCM(96509,96517) = 9314759153 / 1
LCM(96509,96517) = 9314759153

Least Common Multiple (LCM) of 96509 and 96517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96509 and 96517. First we will calculate the prime factors of 96509 and 96517.

Prime Factorization of 96509

Prime Factorization of 96517

Now multiplying the highest exponent prime factors to calculate the LCM of 96509 and 96517.

LCM(96509,96517) = 7¹ × 17¹ × 811¹ × 96517¹
LCM(96509,96517) = 9314759153