What is the Least Common Multiple of 33828 and 33846?

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 33828 and 33846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33828 and 33846, than apply into the LCM equation.

GCF(33828,33846) = 6
LCM(33828,33846) = ( 33828 × 33846) / 6
LCM(33828,33846) = 1144942488 / 6
LCM(33828,33846) = 190823748

Least Common Multiple (LCM) of 33828 and 33846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33828 and 33846. First we will calculate the prime factors of 33828 and 33846.

Prime Factorization of 33828

Prime Factorization of 33846

Now multiplying the highest exponent prime factors to calculate the LCM of 33828 and 33846.

LCM(33828,33846) = 2² × 3¹ × 2819¹ × 5641¹
LCM(33828,33846) = 190823748