What is the Least Common Multiple of 17725 and 17741?

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 17725 and 17741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17725 and 17741, than apply into the LCM equation.

GCF(17725,17741) = 1
LCM(17725,17741) = ( 17725 × 17741) / 1
LCM(17725,17741) = 314459225 / 1
LCM(17725,17741) = 314459225

Least Common Multiple (LCM) of 17725 and 17741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17725 and 17741. First we will calculate the prime factors of 17725 and 17741.

Prime Factorization of 17725

Prime Factorization of 17741

Now multiplying the highest exponent prime factors to calculate the LCM of 17725 and 17741.

LCM(17725,17741) = 5² × 709¹ × 113¹ × 157¹
LCM(17725,17741) = 314459225