What is the Least Common Multiple of 33743 and 33763?

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 33743 and 33763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33743 and 33763, than apply into the LCM equation.

GCF(33743,33763) = 1
LCM(33743,33763) = ( 33743 × 33763) / 1
LCM(33743,33763) = 1139264909 / 1
LCM(33743,33763) = 1139264909

Least Common Multiple (LCM) of 33743 and 33763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33743 and 33763. First we will calculate the prime factors of 33743 and 33763.

Prime Factorization of 33743

Prime Factorization of 33763

Now multiplying the highest exponent prime factors to calculate the LCM of 33743 and 33763.

LCM(33743,33763) = 41¹ × 823¹ × 19¹ × 1777¹
LCM(33743,33763) = 1139264909