Least Common Multiple of 1740 and 1744

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 1744 the smallest integer that is 758640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1740 and 1744 is 758640.

LCM(1740,1744) = 758640

LCM of 1740 and 1744

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

LCM of:
and

Least Common Multiple of 1740 and 1744

LCM of 1740 and 1744 is 758640

Least common multiple can be found by multiplying the highest exponent prime factors of 1740 and 1744. First we will calculate the prime factors of 1740 and 1744.

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 1744


2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 1744 are 2,109. Prime factorization of 1744 in exponential form is:

1744 = 24×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1740 and 1744.

LCM(1740,1744) = 24×31×51×291×1091
LCM(1740,1744) = 758640

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 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1, 2, 4, 8, 16, 109, 218, 436, 872, 1744

Least Common Multiple of 1740 and 1744 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 1744, than apply into the LCM equation.

GCF(1740,1744) = 4
LCM(1740,1744) = ( 1740 × 1744) / 4
LCM(1740,1744) = 3034560 / 4
LCM(1740,1744) = 758640

Properties of LCM 1740 and 1744

(i) The LCM of 1744 and 1740 is associative

LCM of 1740 and 1744 = LCM of 1744 and 1740

Related Least Common Multiples of 1740

Related Least Common Multiples of 1744

Frequently Asked Questions on LCM of 1740 and 1744

1. What is the LCM of 1740 and 1744?

Answer: LCM of 1740 and 1744 is 758640.

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 1744?

Answer: Factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744. There are 10 integers that are factors of 1744. The greatest factor of 1744 is 1744.

4. How to Find the LCM of 1740 and 1744?

Answer:

Least Common Multiple of 1740 and 1744 = 758640

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 1744

1744 = 2 x 2 x 2 x 2 x 109

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

LCM = 758640 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 109

Step 4: Therefore, the least common multiple of 1740 and 1744 is 758640.