What is the Least Common Multiple of 31850 and 31868?

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 31850 and 31868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31850 and 31868, than apply into the LCM equation.

GCF(31850,31868) = 2
LCM(31850,31868) = ( 31850 × 31868) / 2
LCM(31850,31868) = 1014995800 / 2
LCM(31850,31868) = 507497900

Least Common Multiple (LCM) of 31850 and 31868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31850 and 31868. First we will calculate the prime factors of 31850 and 31868.

Prime Factorization of 31850

Prime Factorization of 31868

Now multiplying the highest exponent prime factors to calculate the LCM of 31850 and 31868.

LCM(31850,31868) = 2² × 5² × 7² × 13¹ × 31¹ × 257¹
LCM(31850,31868) = 507497900