Least Common Multiple of 1735 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 1735 and 1740 the smallest integer that is 603780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1735 and 1740 is 603780.

LCM(1735,1740) = 603780

LCM of 1735 and 1740

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

LCM of:
and

Least Common Multiple of 1735 and 1740

LCM of 1735 and 1740 is 603780

Least common multiple can be found by multiplying the highest exponent prime factors of 1735 and 1740. First we will calculate the prime factors of 1735 and 1740.

Prime Factorization of 1735


5 1735
347 347
1

Prime factors of 1735 are 5,347. Prime factorization of 1735 in exponential form is:

1735 = 51×3471

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 1735 and 1740.

LCM(1735,1740) = 22×31×51×291×3471
LCM(1735,1740) = 603780

Factors of 1735

List of positive integer factors of 1735 that divides 1735 without a remainder.

1, 5, 347, 1735

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 1735 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 1735 and 1740, than apply into the LCM equation.

GCF(1735,1740) = 5
LCM(1735,1740) = ( 1735 × 1740) / 5
LCM(1735,1740) = 3018900 / 5
LCM(1735,1740) = 603780

Properties of LCM 1735 and 1740

(i) The LCM of 1740 and 1735 is associative

LCM of 1735 and 1740 = LCM of 1740 and 1735

Related Least Common Multiples of 1735

Related Least Common Multiples of 1740

Frequently Asked Questions on LCM of 1735 and 1740

1. What is the LCM of 1735 and 1740?

Answer: LCM of 1735 and 1740 is 603780.

2. What are the Factors of 1735?

Answer: Factors of 1735 are 1, 5, 347, 1735. There are 4 integers that are factors of 1735. The greatest factor of 1735 is 1735.

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 1735 and 1740?

Answer:

Least Common Multiple of 1735 and 1740 = 603780

Step 1: Find the prime factorization of 1735

1735 = 5 x 347

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 = 603780 = 2 x 2 x 3 x 5 x 29 x 347

Step 4: Therefore, the least common multiple of 1735 and 1740 is 603780.