What is the Least Common Multiple of 96878 and 96898?

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 96878 and 96898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96878 and 96898, than apply into the LCM equation.

GCF(96878,96898) = 2
LCM(96878,96898) = ( 96878 × 96898) / 2
LCM(96878,96898) = 9387284444 / 2
LCM(96878,96898) = 4693642222

Least Common Multiple (LCM) of 96878 and 96898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96878 and 96898. First we will calculate the prime factors of 96878 and 96898.

Prime Factorization of 96878

Prime Factorization of 96898

Now multiplying the highest exponent prime factors to calculate the LCM of 96878 and 96898.

LCM(96878,96898) = 2¹ × 59¹ × 821¹ × 48449¹
LCM(96878,96898) = 4693642222