What is the Least Common Multiple of 33823 and 33839?

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 33823 and 33839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33823 and 33839, than apply into the LCM equation.

GCF(33823,33839) = 1
LCM(33823,33839) = ( 33823 × 33839) / 1
LCM(33823,33839) = 1144536497 / 1
LCM(33823,33839) = 1144536497

Least Common Multiple (LCM) of 33823 and 33839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33823 and 33839. First we will calculate the prime factors of 33823 and 33839.

Prime Factorization of 33823

Prime Factorization of 33839

Now multiplying the highest exponent prime factors to calculate the LCM of 33823 and 33839.

LCM(33823,33839) = 149¹ × 227¹ × 13¹ × 19¹ × 137¹
LCM(33823,33839) = 1144536497