What is the Least Common Multiple of 33826 and 33837?

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 33826 and 33837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33826 and 33837, than apply into the LCM equation.

GCF(33826,33837) = 1
LCM(33826,33837) = ( 33826 × 33837) / 1
LCM(33826,33837) = 1144570362 / 1
LCM(33826,33837) = 1144570362

Least Common Multiple (LCM) of 33826 and 33837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33826 and 33837. First we will calculate the prime factors of 33826 and 33837.

Prime Factorization of 33826

Prime Factorization of 33837

Now multiplying the highest exponent prime factors to calculate the LCM of 33826 and 33837.

LCM(33826,33837) = 2¹ × 13¹ × 1301¹ × 3¹ × 11279¹
LCM(33826,33837) = 1144570362