What is the Least Common Multiple of 29850 and 29856?

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 29850 and 29856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29850 and 29856, than apply into the LCM equation.

GCF(29850,29856) = 6
LCM(29850,29856) = ( 29850 × 29856) / 6
LCM(29850,29856) = 891201600 / 6
LCM(29850,29856) = 148533600

Least Common Multiple (LCM) of 29850 and 29856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29850 and 29856. First we will calculate the prime factors of 29850 and 29856.

Prime Factorization of 29850

Prime Factorization of 29856

Now multiplying the highest exponent prime factors to calculate the LCM of 29850 and 29856.

LCM(29850,29856) = 2⁵ × 3¹ × 5² × 199¹ × 311¹
LCM(29850,29856) = 148533600