What is the Least Common Multiple of 31827 and 31842?

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 31827 and 31842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31827 and 31842, than apply into the LCM equation.

GCF(31827,31842) = 3
LCM(31827,31842) = ( 31827 × 31842) / 3
LCM(31827,31842) = 1013435334 / 3
LCM(31827,31842) = 337811778

Least Common Multiple (LCM) of 31827 and 31842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31827 and 31842. First we will calculate the prime factors of 31827 and 31842.

Prime Factorization of 31827

Prime Factorization of 31842

Now multiplying the highest exponent prime factors to calculate the LCM of 31827 and 31842.

LCM(31827,31842) = 3² × 103² × 2¹ × 29¹ × 61¹
LCM(31827,31842) = 337811778