What is the Least Common Multiple of 29856 and 29869?

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 29856 and 29869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29856 and 29869, than apply into the LCM equation.

GCF(29856,29869) = 1
LCM(29856,29869) = ( 29856 × 29869) / 1
LCM(29856,29869) = 891768864 / 1
LCM(29856,29869) = 891768864

Least Common Multiple (LCM) of 29856 and 29869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29856 and 29869. First we will calculate the prime factors of 29856 and 29869.

Prime Factorization of 29856

Prime Factorization of 29869

Now multiplying the highest exponent prime factors to calculate the LCM of 29856 and 29869.

LCM(29856,29869) = 2⁵ × 3¹ × 311¹ × 7¹ × 17¹ × 251¹
LCM(29856,29869) = 891768864