Least Common Multiple of 1741 and 1749

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 1749 the smallest integer that is 3045009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1741 and 1749 is 3045009.

LCM(1741,1749) = 3045009

LCM of 1741 and 1749

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

LCM of:
and

Least Common Multiple of 1741 and 1749

LCM of 1741 and 1749 is 3045009

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1749. First we will calculate the prime factors of 1741 and 1749.

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 1749


3 1749
11 583
53 53
1

Prime factors of 1749 are 3, 11,53. Prime factorization of 1749 in exponential form is:

1749 = 31×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1749.

LCM(1741,1749) = 31×111×531×17411
LCM(1741,1749) = 3045009

Factors of 1741

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

1, 1741

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1, 3, 11, 33, 53, 159, 583, 1749

Least Common Multiple of 1741 and 1749 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 1749, than apply into the LCM equation.

GCF(1741,1749) = 1
LCM(1741,1749) = ( 1741 × 1749) / 1
LCM(1741,1749) = 3045009 / 1
LCM(1741,1749) = 3045009

Properties of LCM 1741 and 1749

(i) The LCM of 1749 and 1741 is associative

LCM of 1741 and 1749 = LCM of 1749 and 1741

Related Least Common Multiples of 1741

Related Least Common Multiples of 1749

Frequently Asked Questions on LCM of 1741 and 1749

1. What is the LCM of 1741 and 1749?

Answer: LCM of 1741 and 1749 is 3045009.

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 1749?

Answer: Factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749. There are 8 integers that are factors of 1749. The greatest factor of 1749 is 1749.

4. How to Find the LCM of 1741 and 1749?

Answer:

Least Common Multiple of 1741 and 1749 = 3045009

Step 1: Find the prime factorization of 1741

1741 = 1741

Step 2: Find the prime factorization of 1749

1749 = 3 x 11 x 53

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

LCM = 3045009 = 3 x 11 x 53 x 1741

Step 4: Therefore, the least common multiple of 1741 and 1749 is 3045009.