What is the Least Common Multiple of 9864 and 9872?

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 9864 and 9872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9864 and 9872, than apply into the LCM equation.

GCF(9864,9872) = 8
LCM(9864,9872) = ( 9864 × 9872) / 8
LCM(9864,9872) = 97377408 / 8
LCM(9864,9872) = 12172176

Least Common Multiple (LCM) of 9864 and 9872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9864 and 9872. First we will calculate the prime factors of 9864 and 9872.

Prime Factorization of 9864

Prime Factorization of 9872

Now multiplying the highest exponent prime factors to calculate the LCM of 9864 and 9872.

LCM(9864,9872) = 2⁴ × 3² × 137¹ × 617¹
LCM(9864,9872) = 12172176