Least Common Multiple of 5686 and 5692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5686 and 5692 the smallest integer that is 16182356 that is divisible by both numbers.

Least Common Multiple (LCM) of 5686 and 5692 is 16182356.

LCM(5686,5692) = 16182356

LCM of 5686 and 5692

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

LCM of:
and

Least Common Multiple of 5686 and 5692

LCM of 5686 and 5692 is 16182356

Least common multiple can be found by multiplying the highest exponent prime factors of 5686 and 5692. First we will calculate the prime factors of 5686 and 5692.

Prime Factorization of 5686


2 5686
2843 2843
1

Prime factors of 5686 are 2,2843. Prime factorization of 5686 in exponential form is:

5686 = 21×28431

Prime Factorization of 5692


2 5692
2 2846
1423 1423
1

Prime factors of 5692 are 2,1423. Prime factorization of 5692 in exponential form is:

5692 = 22×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 5686 and 5692.

LCM(5686,5692) = 22×14231×28431
LCM(5686,5692) = 16182356

Factors of 5686

List of positive integer factors of 5686 that divides 5686 without a remainder.

1, 2, 2843, 5686

Factors of 5692

List of positive integer factors of 5692 that divides 5692 without a remainder.

1, 2, 4, 1423, 2846, 5692

Least Common Multiple of 5686 and 5692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5686 and 5692, than apply into the LCM equation.

GCF(5686,5692) = 2
LCM(5686,5692) = ( 5686 × 5692) / 2
LCM(5686,5692) = 32364712 / 2
LCM(5686,5692) = 16182356

Properties of LCM 5686 and 5692

(i) The LCM of 5692 and 5686 is associative

LCM of 5686 and 5692 = LCM of 5692 and 5686

Related Least Common Multiples of 5686

Related Least Common Multiples of 5692

Frequently Asked Questions on LCM of 5686 and 5692

1. What is the LCM of 5686 and 5692?

Answer: LCM of 5686 and 5692 is 16182356.

2. What are the Factors of 5686?

Answer: Factors of 5686 are 1, 2, 2843, 5686. There are 4 integers that are factors of 5686. The greatest factor of 5686 is 5686.

3. What are the Factors of 5692?

Answer: Factors of 5692 are 1, 2, 4, 1423, 2846, 5692. There are 6 integers that are factors of 5692. The greatest factor of 5692 is 5692.

4. How to Find the LCM of 5686 and 5692?

Answer:

Least Common Multiple of 5686 and 5692 = 16182356

Step 1: Find the prime factorization of 5686

5686 = 2 x 2843

Step 2: Find the prime factorization of 5692

5692 = 2 x 2 x 1423

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

LCM = 16182356 = 2 x 2 x 1423 x 2843

Step 4: Therefore, the least common multiple of 5686 and 5692 is 16182356.