What is the Least Common Multiple of 10856 and 10872?

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 10856 and 10872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10856 and 10872, than apply into the LCM equation.

GCF(10856,10872) = 8
LCM(10856,10872) = ( 10856 × 10872) / 8
LCM(10856,10872) = 118026432 / 8
LCM(10856,10872) = 14753304

Least Common Multiple (LCM) of 10856 and 10872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10856 and 10872. First we will calculate the prime factors of 10856 and 10872.

Prime Factorization of 10856

Prime Factorization of 10872

Now multiplying the highest exponent prime factors to calculate the LCM of 10856 and 10872.

LCM(10856,10872) = 2³ × 23¹ × 59¹ × 3² × 151¹
LCM(10856,10872) = 14753304