What is the Least Common Multiple of 96888 and 96893?

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 96888 and 96893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96888 and 96893, than apply into the LCM equation.

GCF(96888,96893) = 1
LCM(96888,96893) = ( 96888 × 96893) / 1
LCM(96888,96893) = 9387768984 / 1
LCM(96888,96893) = 9387768984

Least Common Multiple (LCM) of 96888 and 96893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96888 and 96893. First we will calculate the prime factors of 96888 and 96893.

Prime Factorization of 96888

Prime Factorization of 96893

Now multiplying the highest exponent prime factors to calculate the LCM of 96888 and 96893.

LCM(96888,96893) = 2³ × 3¹ × 11¹ × 367¹ × 96893¹
LCM(96888,96893) = 9387768984