What is the Least Common Multiple of 31827 and 31845?

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 31845 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 31845, than apply into the LCM equation.

GCF(31827,31845) = 3
LCM(31827,31845) = ( 31827 × 31845) / 3
LCM(31827,31845) = 1013530815 / 3
LCM(31827,31845) = 337843605

Least Common Multiple (LCM) of 31827 and 31845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31827 and 31845. First we will calculate the prime factors of 31827 and 31845.

Prime Factorization of 31827

Prime Factorization of 31845

Now multiplying the highest exponent prime factors to calculate the LCM of 31827 and 31845.

LCM(31827,31845) = 3¹ × 103² × 5¹ × 11¹ × 193¹
LCM(31827,31845) = 337843605