What is the Least Common Multiple of 9856 and 9869?

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 9869 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 9869, than apply into the LCM equation.

GCF(9856,9869) = 1
LCM(9856,9869) = ( 9856 × 9869) / 1
LCM(9856,9869) = 97268864 / 1
LCM(9856,9869) = 97268864

Least Common Multiple (LCM) of 9856 and 9869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9856 and 9869. First we will calculate the prime factors of 9856 and 9869.

Prime Factorization of 9856

Prime Factorization of 9869

Now multiplying the highest exponent prime factors to calculate the LCM of 9856 and 9869.

LCM(9856,9869) = 2⁷ × 7¹ × 11¹ × 71¹ × 139¹
LCM(9856,9869) = 97268864