Least Common Multiple of 3704 and 3710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3704 and 3710 the smallest integer that is 6870920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3704 and 3710 is 6870920.

LCM(3704,3710) = 6870920

LCM of 3704 and 3710

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

LCM of:
and

Least Common Multiple of 3704 and 3710

LCM of 3704 and 3710 is 6870920

Least common multiple can be found by multiplying the highest exponent prime factors of 3704 and 3710. First we will calculate the prime factors of 3704 and 3710.

Prime Factorization of 3704


2 3704
2 1852
2 926
463 463
1

Prime factors of 3704 are 2,463. Prime factorization of 3704 in exponential form is:

3704 = 23×4631

Prime Factorization of 3710


2 3710
5 1855
7 371
53 53
1

Prime factors of 3710 are 2, 5, 7,53. Prime factorization of 3710 in exponential form is:

3710 = 21×51×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3704 and 3710.

LCM(3704,3710) = 23×51×71×531×4631
LCM(3704,3710) = 6870920

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1, 2, 4, 8, 463, 926, 1852, 3704

Factors of 3710

List of positive integer factors of 3710 that divides 3710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710

Least Common Multiple of 3704 and 3710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3704 and 3710, than apply into the LCM equation.

GCF(3704,3710) = 2
LCM(3704,3710) = ( 3704 × 3710) / 2
LCM(3704,3710) = 13741840 / 2
LCM(3704,3710) = 6870920

Properties of LCM 3704 and 3710

(i) The LCM of 3710 and 3704 is associative

LCM of 3704 and 3710 = LCM of 3710 and 3704

Related Least Common Multiples of 3704

Related Least Common Multiples of 3710

Frequently Asked Questions on LCM of 3704 and 3710

1. What is the LCM of 3704 and 3710?

Answer: LCM of 3704 and 3710 is 6870920.

2. What are the Factors of 3704?

Answer: Factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704. There are 8 integers that are factors of 3704. The greatest factor of 3704 is 3704.

3. What are the Factors of 3710?

Answer: Factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710. There are 16 integers that are factors of 3710. The greatest factor of 3710 is 3710.

4. How to Find the LCM of 3704 and 3710?

Answer:

Least Common Multiple of 3704 and 3710 = 6870920

Step 1: Find the prime factorization of 3704

3704 = 2 x 2 x 2 x 463

Step 2: Find the prime factorization of 3710

3710 = 2 x 5 x 7 x 53

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

LCM = 6870920 = 2 x 2 x 2 x 5 x 7 x 53 x 463

Step 4: Therefore, the least common multiple of 3704 and 3710 is 6870920.