GCF and LCM Calculator Logo

What is the Least Common Multiple of 1741 and 1758?

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 (LCM) of 1741 and 1758 is 3060678.

LCM(1741,1758) = 3060678

LCM Calculator and
and

Least Common Multiple of 1741 and 1758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1741 and 1758, than apply into the LCM equation.

GCF(1741,1758) = 1
LCM(1741,1758) = ( 1741 × 1758) / 1
LCM(1741,1758) = 3060678 / 1
LCM(1741,1758) = 3060678

Least Common Multiple (LCM) of 1741 and 1758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1758. First we will calculate the prime factors of 1741 and 1758.

Prime Factorization of 1741

Prime factors of 1741 are 1741. Prime factorization of 1741 in exponential form is:

1741 = 17411

Prime Factorization of 1758

Prime factors of 1758 are 2, 3, 293. Prime factorization of 1758 in exponential form is:

1758 = 21 × 31 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1758.

LCM(1741,1758) = 17411 × 21 × 31 × 2931
LCM(1741,1758) = 3060678