What is the Least Common Multiple of 8854 and 8872?

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 8854 and 8872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8854 and 8872, than apply into the LCM equation.

GCF(8854,8872) = 2
LCM(8854,8872) = ( 8854 × 8872) / 2
LCM(8854,8872) = 78552688 / 2
LCM(8854,8872) = 39276344

Least Common Multiple (LCM) of 8854 and 8872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8854 and 8872. First we will calculate the prime factors of 8854 and 8872.

Prime Factorization of 8854

Prime Factorization of 8872

Now multiplying the highest exponent prime factors to calculate the LCM of 8854 and 8872.

LCM(8854,8872) = 2³ × 19¹ × 233¹ × 1109¹
LCM(8854,8872) = 39276344