Least Common Multiple of 1741 and 1746

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 1746 the smallest integer that is 3039786 that is divisible by both numbers.

Least Common Multiple (LCM) of 1741 and 1746 is 3039786.

LCM(1741,1746) = 3039786

LCM of 1741 and 1746

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

LCM of:
and

Least Common Multiple of 1741 and 1746

LCM of 1741 and 1746 is 3039786

Least common multiple can be found by multiplying the highest exponent prime factors of 1741 and 1746. First we will calculate the prime factors of 1741 and 1746.

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 1746


2 1746
3 873
3 291
97 97
1

Prime factors of 1746 are 2, 3,97. Prime factorization of 1746 in exponential form is:

1746 = 21×32×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1741 and 1746.

LCM(1741,1746) = 21×32×971×17411
LCM(1741,1746) = 3039786

Factors of 1741

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

1, 1741

Factors of 1746

List of positive integer factors of 1746 that divides 1746 without a remainder.

1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746

Least Common Multiple of 1741 and 1746 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 1746, than apply into the LCM equation.

GCF(1741,1746) = 1
LCM(1741,1746) = ( 1741 × 1746) / 1
LCM(1741,1746) = 3039786 / 1
LCM(1741,1746) = 3039786

Properties of LCM 1741 and 1746

(i) The LCM of 1746 and 1741 is associative

LCM of 1741 and 1746 = LCM of 1746 and 1741

Related Least Common Multiples of 1741

Related Least Common Multiples of 1746

Frequently Asked Questions on LCM of 1741 and 1746

1. What is the LCM of 1741 and 1746?

Answer: LCM of 1741 and 1746 is 3039786.

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 1746?

Answer: Factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746. There are 12 integers that are factors of 1746. The greatest factor of 1746 is 1746.

4. How to Find the LCM of 1741 and 1746?

Answer:

Least Common Multiple of 1741 and 1746 = 3039786

Step 1: Find the prime factorization of 1741

1741 = 1741

Step 2: Find the prime factorization of 1746

1746 = 2 x 3 x 3 x 97

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

LCM = 3039786 = 2 x 3 x 3 x 97 x 1741

Step 4: Therefore, the least common multiple of 1741 and 1746 is 3039786.