Least Common Multiple of 1737 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 1737 and 1740 the smallest integer that is 1007460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1737 and 1740 is 1007460.

LCM(1737,1740) = 1007460

LCM of 1737 and 1740

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

LCM of:
and

Least Common Multiple of 1737 and 1740

LCM of 1737 and 1740 is 1007460

Least common multiple can be found by multiplying the highest exponent prime factors of 1737 and 1740. First we will calculate the prime factors of 1737 and 1740.

Prime Factorization of 1737


3 1737
3 579
193 193
1

Prime factors of 1737 are 3,193. Prime factorization of 1737 in exponential form is:

1737 = 32×1931

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 1737 and 1740.

LCM(1737,1740) = 22×32×51×291×1931
LCM(1737,1740) = 1007460

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1, 3, 9, 193, 579, 1737

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 1737 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 1737 and 1740, than apply into the LCM equation.

GCF(1737,1740) = 3
LCM(1737,1740) = ( 1737 × 1740) / 3
LCM(1737,1740) = 3022380 / 3
LCM(1737,1740) = 1007460

Properties of LCM 1737 and 1740

(i) The LCM of 1740 and 1737 is associative

LCM of 1737 and 1740 = LCM of 1740 and 1737

Related Least Common Multiples of 1737

Related Least Common Multiples of 1740

Frequently Asked Questions on LCM of 1737 and 1740

1. What is the LCM of 1737 and 1740?

Answer: LCM of 1737 and 1740 is 1007460.

2. What are the Factors of 1737?

Answer: Factors of 1737 are 1, 3, 9, 193, 579, 1737. There are 6 integers that are factors of 1737. The greatest factor of 1737 is 1737.

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 1737 and 1740?

Answer:

Least Common Multiple of 1737 and 1740 = 1007460

Step 1: Find the prime factorization of 1737

1737 = 3 x 3 x 193

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 = 1007460 = 2 x 2 x 3 x 3 x 5 x 29 x 193

Step 4: Therefore, the least common multiple of 1737 and 1740 is 1007460.