Least Common Multiple of 1741 and 1745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1741 and 1745 the smallest integer that is 3038045 that is divisible by both numbers.

Least Common Multiple (LCM) of 1741 and 1745 is 3038045.

LCM(1741,1745) = 3038045

LCM of 1741 and 1745

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1741 and 1745

LCM of 1741 and 1745 is 3038045

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1745. First we will calculate the prime factors of 1741 and 1745.

Prime Factorization of 1741


1741 1741
1

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

1741 = 17411

Prime Factorization of 1745


5 1745
349 349
1

Prime factors of 1745 are 5,349. Prime factorization of 1745 in exponential form is:

1745 = 51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1745.

LCM(1741,1745) = 51×3491×17411
LCM(1741,1745) = 3038045

Factors of 1741

List of positive integer factors of 1741 that divides 1741 without a remainder.

1, 1741

Factors of 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1, 5, 349, 1745

Least Common Multiple of 1741 and 1745 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 1745, than apply into the LCM equation.

GCF(1741,1745) = 1
LCM(1741,1745) = ( 1741 × 1745) / 1
LCM(1741,1745) = 3038045 / 1
LCM(1741,1745) = 3038045

Properties of LCM 1741 and 1745

(i) The LCM of 1745 and 1741 is associative

LCM of 1741 and 1745 = LCM of 1745 and 1741

Related Least Common Multiples of 1741

Related Least Common Multiples of 1745

Frequently Asked Questions on LCM of 1741 and 1745

1. What is the LCM of 1741 and 1745?

Answer: LCM of 1741 and 1745 is 3038045.

2. What are the Factors of 1741?

Answer: Factors of 1741 are 1, 1741. There are 2 integers that are factors of 1741. The greatest factor of 1741 is 1741.

3. What are the Factors of 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

4. How to Find the LCM of 1741 and 1745?

Answer:

Least Common Multiple of 1741 and 1745 = 3038045

Step 1: Find the prime factorization of 1741

1741 = 1741

Step 2: Find the prime factorization of 1745

1745 = 5 x 349

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3038045 = 5 x 349 x 1741

Step 4: Therefore, the least common multiple of 1741 and 1745 is 3038045.