What is the Least Common Multiple of 96840 and 96855?

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 96840 and 96855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96840 and 96855, than apply into the LCM equation.

GCF(96840,96855) = 15
LCM(96840,96855) = ( 96840 × 96855) / 15
LCM(96840,96855) = 9379438200 / 15
LCM(96840,96855) = 625295880

Least Common Multiple (LCM) of 96840 and 96855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96840 and 96855. First we will calculate the prime factors of 96840 and 96855.

Prime Factorization of 96840

Prime Factorization of 96855

Now multiplying the highest exponent prime factors to calculate the LCM of 96840 and 96855.

LCM(96840,96855) = 2³ × 3² × 5¹ × 269¹ × 11¹ × 587¹
LCM(96840,96855) = 625295880