What is the Least Common Multiple of 30846 and 30855?

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 30846 and 30855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30846 and 30855, than apply into the LCM equation.

GCF(30846,30855) = 3
LCM(30846,30855) = ( 30846 × 30855) / 3
LCM(30846,30855) = 951753330 / 3
LCM(30846,30855) = 317251110

Least Common Multiple (LCM) of 30846 and 30855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30846 and 30855. First we will calculate the prime factors of 30846 and 30855.

Prime Factorization of 30846

Prime Factorization of 30855

Now multiplying the highest exponent prime factors to calculate the LCM of 30846 and 30855.

LCM(30846,30855) = 2¹ × 3¹ × 53¹ × 97¹ × 5¹ × 11² × 17¹
LCM(30846,30855) = 317251110