Least Common Multiple of 1740 and 1743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1740 and 1743 the smallest integer that is 1010940 that is divisible by both numbers.

Least Common Multiple (LCM) of 1740 and 1743 is 1010940.

LCM(1740,1743) = 1010940

LCM of 1740 and 1743

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

LCM of:
and

Least Common Multiple of 1740 and 1743

LCM of 1740 and 1743 is 1010940

Least common multiple can be found by multiplying the highest exponent prime factors of 1740 and 1743. First we will calculate the prime factors of 1740 and 1743.

Prime Factorization of 1740


2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 1740 are 2, 3, 5,29. Prime factorization of 1740 in exponential form is:

1740 = 22×31×51×291

Prime Factorization of 1743


3 1743
7 581
83 83
1

Prime factors of 1743 are 3, 7,83. Prime factorization of 1743 in exponential form is:

1743 = 31×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1740 and 1743.

LCM(1740,1743) = 22×31×51×71×291×831
LCM(1740,1743) = 1010940

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740

Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1, 3, 7, 21, 83, 249, 581, 1743

Least Common Multiple of 1740 and 1743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1740 and 1743, than apply into the LCM equation.

GCF(1740,1743) = 3
LCM(1740,1743) = ( 1740 × 1743) / 3
LCM(1740,1743) = 3032820 / 3
LCM(1740,1743) = 1010940

Properties of LCM 1740 and 1743

(i) The LCM of 1743 and 1740 is associative

LCM of 1740 and 1743 = LCM of 1743 and 1740

Related Least Common Multiples of 1740

Related Least Common Multiples of 1743

Frequently Asked Questions on LCM of 1740 and 1743

1. What is the LCM of 1740 and 1743?

Answer: LCM of 1740 and 1743 is 1010940.

2. What are the Factors of 1740?

Answer: Factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. There are 24 integers that are factors of 1740. The greatest factor of 1740 is 1740.

3. What are the Factors of 1743?

Answer: Factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743. There are 8 integers that are factors of 1743. The greatest factor of 1743 is 1743.

4. How to Find the LCM of 1740 and 1743?

Answer:

Least Common Multiple of 1740 and 1743 = 1010940

Step 1: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 1743

1743 = 3 x 7 x 83

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

LCM = 1010940 = 2 x 2 x 3 x 5 x 7 x 29 x 83

Step 4: Therefore, the least common multiple of 1740 and 1743 is 1010940.