What is the Least Common Multiple of 23732 and 23749?

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 23732 and 23749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23732 and 23749, than apply into the LCM equation.

GCF(23732,23749) = 17
LCM(23732,23749) = ( 23732 × 23749) / 17
LCM(23732,23749) = 563611268 / 17
LCM(23732,23749) = 33153604

Least Common Multiple (LCM) of 23732 and 23749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23732 and 23749. First we will calculate the prime factors of 23732 and 23749.

Prime Factorization of 23732

Prime Factorization of 23749

Now multiplying the highest exponent prime factors to calculate the LCM of 23732 and 23749.

LCM(23732,23749) = 2² × 17¹ × 349¹ × 11¹ × 127¹
LCM(23732,23749) = 33153604