What is the Least Common Multiple of 10857 and 10867?

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 10857 and 10867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10857 and 10867, than apply into the LCM equation.

GCF(10857,10867) = 1
LCM(10857,10867) = ( 10857 × 10867) / 1
LCM(10857,10867) = 117983019 / 1
LCM(10857,10867) = 117983019

Least Common Multiple (LCM) of 10857 and 10867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10857 and 10867. First we will calculate the prime factors of 10857 and 10867.

Prime Factorization of 10857

Prime Factorization of 10867

Now multiplying the highest exponent prime factors to calculate the LCM of 10857 and 10867.

LCM(10857,10867) = 3¹ × 7¹ × 11¹ × 47¹ × 10867¹
LCM(10857,10867) = 117983019