What is the Least Common Multiple of 23793 and 23811?

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 23793 and 23811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23793 and 23811, than apply into the LCM equation.

GCF(23793,23811) = 3
LCM(23793,23811) = ( 23793 × 23811) / 3
LCM(23793,23811) = 566535123 / 3
LCM(23793,23811) = 188845041

Least Common Multiple (LCM) of 23793 and 23811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23793 and 23811. First we will calculate the prime factors of 23793 and 23811.

Prime Factorization of 23793

Prime Factorization of 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 23793 and 23811.

LCM(23793,23811) = 3¹ × 7¹ × 11¹ × 103¹ × 7937¹
LCM(23793,23811) = 188845041