What is the Least Common Multiple of 96509 and 96516?

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 96516 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 96516, than apply into the LCM equation.

GCF(96509,96516) = 7
LCM(96509,96516) = ( 96509 × 96516) / 7
LCM(96509,96516) = 9314662644 / 7
LCM(96509,96516) = 1330666092

Least Common Multiple (LCM) of 96509 and 96516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96509 and 96516. First we will calculate the prime factors of 96509 and 96516.

Prime Factorization of 96509

Prime Factorization of 96516

Now multiplying the highest exponent prime factors to calculate the LCM of 96509 and 96516.

LCM(96509,96516) = 7¹ × 17¹ × 811¹ × 2² × 3² × 383¹
LCM(96509,96516) = 1330666092