What is the Least Common Multiple of 50850 and 50854?

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 50850 and 50854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50850 and 50854, than apply into the LCM equation.

GCF(50850,50854) = 2
LCM(50850,50854) = ( 50850 × 50854) / 2
LCM(50850,50854) = 2585925900 / 2
LCM(50850,50854) = 1292962950

Least Common Multiple (LCM) of 50850 and 50854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50850 and 50854. First we will calculate the prime factors of 50850 and 50854.

Prime Factorization of 50850

Prime Factorization of 50854

Now multiplying the highest exponent prime factors to calculate the LCM of 50850 and 50854.

LCM(50850,50854) = 2¹ × 3² × 5² × 113¹ × 47¹ × 541¹
LCM(50850,50854) = 1292962950