What is the Least Common Multiple of 33729 and 33743?

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 33729 and 33743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33729 and 33743, than apply into the LCM equation.

GCF(33729,33743) = 1
LCM(33729,33743) = ( 33729 × 33743) / 1
LCM(33729,33743) = 1138117647 / 1
LCM(33729,33743) = 1138117647

Least Common Multiple (LCM) of 33729 and 33743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33729 and 33743. First we will calculate the prime factors of 33729 and 33743.

Prime Factorization of 33729

Prime Factorization of 33743

Now multiplying the highest exponent prime factors to calculate the LCM of 33729 and 33743.

LCM(33729,33743) = 3¹ × 11243¹ × 41¹ × 823¹
LCM(33729,33743) = 1138117647