What is the Least Common Multiple of 31845 and 31857?

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 31845 and 31857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31845 and 31857, than apply into the LCM equation.

GCF(31845,31857) = 3
LCM(31845,31857) = ( 31845 × 31857) / 3
LCM(31845,31857) = 1014486165 / 3
LCM(31845,31857) = 338162055

Least Common Multiple (LCM) of 31845 and 31857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31845 and 31857. First we will calculate the prime factors of 31845 and 31857.

Prime Factorization of 31845

Prime Factorization of 31857

Now multiplying the highest exponent prime factors to calculate the LCM of 31845 and 31857.

LCM(31845,31857) = 3¹ × 5¹ × 11¹ × 193¹ × 7¹ × 37¹ × 41¹
LCM(31845,31857) = 338162055