Least Common Multiple of 1740 and 1745

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 1745 the smallest integer that is 607260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1740 and 1745 is 607260.

LCM(1740,1745) = 607260

LCM of 1740 and 1745

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

LCM of:
and

Least Common Multiple of 1740 and 1745

LCM of 1740 and 1745 is 607260

Least common multiple can be found by multiplying the highest exponent prime factors of 1740 and 1745. First we will calculate the prime factors of 1740 and 1745.

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 1745


5 1745
349 349
1

Prime factors of 1745 are 5,349. Prime factorization of 1745 in exponential form is:

1745 = 51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 1740 and 1745.

LCM(1740,1745) = 22×31×51×291×3491
LCM(1740,1745) = 607260

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 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1, 5, 349, 1745

Least Common Multiple of 1740 and 1745 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 1745, than apply into the LCM equation.

GCF(1740,1745) = 5
LCM(1740,1745) = ( 1740 × 1745) / 5
LCM(1740,1745) = 3036300 / 5
LCM(1740,1745) = 607260

Properties of LCM 1740 and 1745

(i) The LCM of 1745 and 1740 is associative

LCM of 1740 and 1745 = LCM of 1745 and 1740

Related Least Common Multiples of 1740

Related Least Common Multiples of 1745

Frequently Asked Questions on LCM of 1740 and 1745

1. What is the LCM of 1740 and 1745?

Answer: LCM of 1740 and 1745 is 607260.

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 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

4. How to Find the LCM of 1740 and 1745?

Answer:

Least Common Multiple of 1740 and 1745 = 607260

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 1745

1745 = 5 x 349

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

LCM = 607260 = 2 x 2 x 3 x 5 x 29 x 349

Step 4: Therefore, the least common multiple of 1740 and 1745 is 607260.