What is the Least Common Multiple of 29856 and 29872?

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 29872 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 29872, than apply into the LCM equation.

GCF(29856,29872) = 16
LCM(29856,29872) = ( 29856 × 29872) / 16
LCM(29856,29872) = 891858432 / 16
LCM(29856,29872) = 55741152

Least Common Multiple (LCM) of 29856 and 29872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29856 and 29872. First we will calculate the prime factors of 29856 and 29872.

Prime Factorization of 29856

Prime Factorization of 29872

Now multiplying the highest exponent prime factors to calculate the LCM of 29856 and 29872.

LCM(29856,29872) = 2⁵ × 3¹ × 311¹ × 1867¹
LCM(29856,29872) = 55741152