What is the Least Common Multiple of 50858 and 50877?

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 50858 and 50877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50858 and 50877, than apply into the LCM equation.

GCF(50858,50877) = 1
LCM(50858,50877) = ( 50858 × 50877) / 1
LCM(50858,50877) = 2587502466 / 1
LCM(50858,50877) = 2587502466

Least Common Multiple (LCM) of 50858 and 50877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50858 and 50877. First we will calculate the prime factors of 50858 and 50877.

Prime Factorization of 50858

Prime Factorization of 50877

Now multiplying the highest exponent prime factors to calculate the LCM of 50858 and 50877.

LCM(50858,50877) = 2¹ × 59¹ × 431¹ × 3² × 5653¹
LCM(50858,50877) = 2587502466