Least Common Multiple of 1734 and 1740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1734 and 1740 the smallest integer that is 502860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1734 and 1740 is 502860.

LCM(1734,1740) = 502860

LCM of 1734 and 1740

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

LCM of:
and

Least Common Multiple of 1734 and 1740

LCM of 1734 and 1740 is 502860

Least common multiple can be found by multiplying the highest exponent prime factors of 1734 and 1740. First we will calculate the prime factors of 1734 and 1740.

Prime Factorization of 1734


2 1734
3 867
17 289
17 17
1

Prime factors of 1734 are 2, 3,17. Prime factorization of 1734 in exponential form is:

1734 = 21×31×172

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1734 and 1740.

LCM(1734,1740) = 22×31×51×172×291
LCM(1734,1740) = 502860

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734

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

Least Common Multiple of 1734 and 1740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1734 and 1740, than apply into the LCM equation.

GCF(1734,1740) = 6
LCM(1734,1740) = ( 1734 × 1740) / 6
LCM(1734,1740) = 3017160 / 6
LCM(1734,1740) = 502860

Properties of LCM 1734 and 1740

(i) The LCM of 1740 and 1734 is associative

LCM of 1734 and 1740 = LCM of 1740 and 1734

Related Least Common Multiples of 1734

Related Least Common Multiples of 1740

Frequently Asked Questions on LCM of 1734 and 1740

1. What is the LCM of 1734 and 1740?

Answer: LCM of 1734 and 1740 is 502860.

2. What are the Factors of 1734?

Answer: Factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734. There are 12 integers that are factors of 1734. The greatest factor of 1734 is 1734.

3. 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.

4. How to Find the LCM of 1734 and 1740?

Answer:

Least Common Multiple of 1734 and 1740 = 502860

Step 1: Find the prime factorization of 1734

1734 = 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

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

LCM = 502860 = 2 x 2 x 3 x 5 x 17 x 17 x 29

Step 4: Therefore, the least common multiple of 1734 and 1740 is 502860.