What is the Least Common Multiple of 96855 and 96865?

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 96855 and 96865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96855 and 96865, than apply into the LCM equation.

GCF(96855,96865) = 5
LCM(96855,96865) = ( 96855 × 96865) / 5
LCM(96855,96865) = 9381859575 / 5
LCM(96855,96865) = 1876371915

Least Common Multiple (LCM) of 96855 and 96865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96855 and 96865. First we will calculate the prime factors of 96855 and 96865.

Prime Factorization of 96855

Prime Factorization of 96865

Now multiplying the highest exponent prime factors to calculate the LCM of 96855 and 96865.

LCM(96855,96865) = 3¹ × 5¹ × 11¹ × 587¹ × 19373¹
LCM(96855,96865) = 1876371915