What is the Least Common Multiple of 96489 and 96509?

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 96489 and 96509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96489 and 96509, than apply into the LCM equation.

GCF(96489,96509) = 1
LCM(96489,96509) = ( 96489 × 96509) / 1
LCM(96489,96509) = 9312056901 / 1
LCM(96489,96509) = 9312056901

Least Common Multiple (LCM) of 96489 and 96509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96489 and 96509. First we will calculate the prime factors of 96489 and 96509.

Prime Factorization of 96489

Prime Factorization of 96509

Now multiplying the highest exponent prime factors to calculate the LCM of 96489 and 96509.

LCM(96489,96509) = 3² × 71¹ × 151¹ × 7¹ × 17¹ × 811¹
LCM(96489,96509) = 9312056901