What is the Least Common Multiple of 58839 and 58850?

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 58839 and 58850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58839 and 58850, than apply into the LCM equation.

GCF(58839,58850) = 11
LCM(58839,58850) = ( 58839 × 58850) / 11
LCM(58839,58850) = 3462675150 / 11
LCM(58839,58850) = 314788650

Least Common Multiple (LCM) of 58839 and 58850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58839 and 58850. First we will calculate the prime factors of 58839 and 58850.

Prime Factorization of 58839

Prime Factorization of 58850

Now multiplying the highest exponent prime factors to calculate the LCM of 58839 and 58850.

LCM(58839,58850) = 3¹ × 11¹ × 1783¹ × 2¹ × 5² × 107¹
LCM(58839,58850) = 314788650