What is the Least Common Multiple of 15732 and 15741?

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 15732 and 15741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15732 and 15741, than apply into the LCM equation.

GCF(15732,15741) = 9
LCM(15732,15741) = ( 15732 × 15741) / 9
LCM(15732,15741) = 247637412 / 9
LCM(15732,15741) = 27515268

Least Common Multiple (LCM) of 15732 and 15741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15732 and 15741. First we will calculate the prime factors of 15732 and 15741.

Prime Factorization of 15732

Prime Factorization of 15741

Now multiplying the highest exponent prime factors to calculate the LCM of 15732 and 15741.

LCM(15732,15741) = 2² × 3³ × 19¹ × 23¹ × 11¹ × 53¹
LCM(15732,15741) = 27515268