What is the Least Common Multiple of 96853 and 96873?

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 96853 and 96873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96853 and 96873, than apply into the LCM equation.

GCF(96853,96873) = 1
LCM(96853,96873) = ( 96853 × 96873) / 1
LCM(96853,96873) = 9382440669 / 1
LCM(96853,96873) = 9382440669

Least Common Multiple (LCM) of 96853 and 96873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96853 and 96873. First we will calculate the prime factors of 96853 and 96873.

Prime Factorization of 96853

Prime Factorization of 96873

Now multiplying the highest exponent prime factors to calculate the LCM of 96853 and 96873.

LCM(96853,96873) = 23¹ × 4211¹ × 3¹ × 7² × 659¹
LCM(96853,96873) = 9382440669