What is the Least Common Multiple of 50858 and 50872?

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 50872 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 50872, than apply into the LCM equation.

GCF(50858,50872) = 2
LCM(50858,50872) = ( 50858 × 50872) / 2
LCM(50858,50872) = 2587248176 / 2
LCM(50858,50872) = 1293624088

Least Common Multiple (LCM) of 50858 and 50872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50858 and 50872. First we will calculate the prime factors of 50858 and 50872.

Prime Factorization of 50858

Prime Factorization of 50872

Now multiplying the highest exponent prime factors to calculate the LCM of 50858 and 50872.

LCM(50858,50872) = 2³ × 59¹ × 431¹ × 6359¹
LCM(50858,50872) = 1293624088