What is the Least Common Multiple of 96489 and 96493?

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 96493 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 96493, than apply into the LCM equation.

GCF(96489,96493) = 1
LCM(96489,96493) = ( 96489 × 96493) / 1
LCM(96489,96493) = 9310513077 / 1
LCM(96489,96493) = 9310513077

Least Common Multiple (LCM) of 96489 and 96493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96489 and 96493. First we will calculate the prime factors of 96489 and 96493.

Prime Factorization of 96489

Prime Factorization of 96493

Now multiplying the highest exponent prime factors to calculate the LCM of 96489 and 96493.

LCM(96489,96493) = 3² × 71¹ × 151¹ × 96493¹
LCM(96489,96493) = 9310513077