What is the Least Common Multiple of 30834 and 30846?

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 30834 and 30846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30834 and 30846, than apply into the LCM equation.

GCF(30834,30846) = 6
LCM(30834,30846) = ( 30834 × 30846) / 6
LCM(30834,30846) = 951105564 / 6
LCM(30834,30846) = 158517594

Least Common Multiple (LCM) of 30834 and 30846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30834 and 30846. First we will calculate the prime factors of 30834 and 30846.

Prime Factorization of 30834

Prime Factorization of 30846

Now multiplying the highest exponent prime factors to calculate the LCM of 30834 and 30846.

LCM(30834,30846) = 2¹ × 3³ × 571¹ × 53¹ × 97¹
LCM(30834,30846) = 158517594