What is the Least Common Multiple of 1724 and 1741?

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 1724 and 1741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1724 and 1741, than apply into the LCM equation.

GCF(1724,1741) = 1
LCM(1724,1741) = ( 1724 × 1741) / 1
LCM(1724,1741) = 3001484 / 1
LCM(1724,1741) = 3001484

Least Common Multiple (LCM) of 1724 and 1741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1724 and 1741. First we will calculate the prime factors of 1724 and 1741.

Prime Factorization of 1724

Prime Factorization of 1741

Now multiplying the highest exponent prime factors to calculate the LCM of 1724 and 1741.

LCM(1724,1741) = 2² × 431¹ × 1741¹
LCM(1724,1741) = 3001484