What is the Least Common Multiple of 31855 and 31875?

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 31855 and 31875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31855 and 31875, than apply into the LCM equation.

GCF(31855,31875) = 5
LCM(31855,31875) = ( 31855 × 31875) / 5
LCM(31855,31875) = 1015378125 / 5
LCM(31855,31875) = 203075625

Least Common Multiple (LCM) of 31855 and 31875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31855 and 31875. First we will calculate the prime factors of 31855 and 31875.

Prime Factorization of 31855

Prime Factorization of 31875

Now multiplying the highest exponent prime factors to calculate the LCM of 31855 and 31875.

LCM(31855,31875) = 5⁴ × 23¹ × 277¹ × 3¹ × 17¹
LCM(31855,31875) = 203075625