What is the Least Common Multiple of 33828 and 33845?

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 33845 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 33845, than apply into the LCM equation.

GCF(33828,33845) = 1
LCM(33828,33845) = ( 33828 × 33845) / 1
LCM(33828,33845) = 1144908660 / 1
LCM(33828,33845) = 1144908660

Least Common Multiple (LCM) of 33828 and 33845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33828 and 33845. First we will calculate the prime factors of 33828 and 33845.

Prime Factorization of 33828

Prime Factorization of 33845

Now multiplying the highest exponent prime factors to calculate the LCM of 33828 and 33845.

LCM(33828,33845) = 2² × 3¹ × 2819¹ × 5¹ × 7¹ × 967¹
LCM(33828,33845) = 1144908660