What is the Least Common Multiple of 31866 and 31873?

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 31866 and 31873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31866 and 31873, than apply into the LCM equation.

GCF(31866,31873) = 1
LCM(31866,31873) = ( 31866 × 31873) / 1
LCM(31866,31873) = 1015665018 / 1
LCM(31866,31873) = 1015665018

Least Common Multiple (LCM) of 31866 and 31873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31866 and 31873. First we will calculate the prime factors of 31866 and 31873.

Prime Factorization of 31866

Prime Factorization of 31873

Now multiplying the highest exponent prime factors to calculate the LCM of 31866 and 31873.

LCM(31866,31873) = 2¹ × 3¹ × 47¹ × 113¹ × 31873¹
LCM(31866,31873) = 1015665018