What is the Least Common Multiple of 9856 and 9867?

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 9856 and 9867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9856 and 9867, than apply into the LCM equation.

GCF(9856,9867) = 11
LCM(9856,9867) = ( 9856 × 9867) / 11
LCM(9856,9867) = 97249152 / 11
LCM(9856,9867) = 8840832

Least Common Multiple (LCM) of 9856 and 9867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9856 and 9867. First we will calculate the prime factors of 9856 and 9867.

Prime Factorization of 9856

Prime Factorization of 9867

Now multiplying the highest exponent prime factors to calculate the LCM of 9856 and 9867.

LCM(9856,9867) = 2⁷ × 7¹ × 11¹ × 3¹ × 13¹ × 23¹
LCM(9856,9867) = 8840832