Least Common Multiple of 5682 and 5687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5682 and 5687 the smallest integer that is 32313534 that is divisible by both numbers.

Least Common Multiple (LCM) of 5682 and 5687 is 32313534.

LCM(5682,5687) = 32313534

LCM of 5682 and 5687

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

LCM of:
and

Least Common Multiple of 5682 and 5687

LCM of 5682 and 5687 is 32313534

Least common multiple can be found by multiplying the highest exponent prime factors of 5682 and 5687. First we will calculate the prime factors of 5682 and 5687.

Prime Factorization of 5682


2 5682
3 2841
947 947
1

Prime factors of 5682 are 2, 3,947. Prime factorization of 5682 in exponential form is:

5682 = 21×31×9471

Prime Factorization of 5687


11 5687
11 517
47 47
1

Prime factors of 5687 are 11,47. Prime factorization of 5687 in exponential form is:

5687 = 112×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5682 and 5687.

LCM(5682,5687) = 21×31×112×471×9471
LCM(5682,5687) = 32313534

Factors of 5682

List of positive integer factors of 5682 that divides 5682 without a remainder.

1, 2, 3, 6, 947, 1894, 2841, 5682

Factors of 5687

List of positive integer factors of 5687 that divides 5687 without a remainder.

1, 11, 47, 121, 517, 5687

Least Common Multiple of 5682 and 5687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5682 and 5687, than apply into the LCM equation.

GCF(5682,5687) = 1
LCM(5682,5687) = ( 5682 × 5687) / 1
LCM(5682,5687) = 32313534 / 1
LCM(5682,5687) = 32313534

Properties of LCM 5682 and 5687

(i) The LCM of 5687 and 5682 is associative

LCM of 5682 and 5687 = LCM of 5687 and 5682

Related Least Common Multiples of 5682

Related Least Common Multiples of 5687

Frequently Asked Questions on LCM of 5682 and 5687

1. What is the LCM of 5682 and 5687?

Answer: LCM of 5682 and 5687 is 32313534.

2. What are the Factors of 5682?

Answer: Factors of 5682 are 1, 2, 3, 6, 947, 1894, 2841, 5682. There are 8 integers that are factors of 5682. The greatest factor of 5682 is 5682.

3. What are the Factors of 5687?

Answer: Factors of 5687 are 1, 11, 47, 121, 517, 5687. There are 6 integers that are factors of 5687. The greatest factor of 5687 is 5687.

4. How to Find the LCM of 5682 and 5687?

Answer:

Least Common Multiple of 5682 and 5687 = 32313534

Step 1: Find the prime factorization of 5682

5682 = 2 x 3 x 947

Step 2: Find the prime factorization of 5687

5687 = 11 x 11 x 47

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

LCM = 32313534 = 2 x 3 x 11 x 11 x 47 x 947

Step 4: Therefore, the least common multiple of 5682 and 5687 is 32313534.