What is the Least Common Multiple of 15741 and 15761?

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 15741 and 15761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15741 and 15761, than apply into the LCM equation.

GCF(15741,15761) = 1
LCM(15741,15761) = ( 15741 × 15761) / 1
LCM(15741,15761) = 248093901 / 1
LCM(15741,15761) = 248093901

Least Common Multiple (LCM) of 15741 and 15761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15741 and 15761. First we will calculate the prime factors of 15741 and 15761.

Prime Factorization of 15741

Prime Factorization of 15761

Now multiplying the highest exponent prime factors to calculate the LCM of 15741 and 15761.

LCM(15741,15761) = 3³ × 11¹ × 53¹ × 15761¹
LCM(15741,15761) = 248093901