Least Common Multiple of 5686 and 5693

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 5693 the smallest integer that is 32370398 that is divisible by both numbers.

Least Common Multiple (LCM) of 5686 and 5693 is 32370398.

LCM(5686,5693) = 32370398

LCM of 5686 and 5693

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

LCM of:
and

Least Common Multiple of 5686 and 5693

LCM of 5686 and 5693 is 32370398

Least common multiple can be found by multiplying the highest exponent prime factors of 5686 and 5693. First we will calculate the prime factors of 5686 and 5693.

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 5693


5693 5693
1

Prime factors of 5693 are 5693. Prime factorization of 5693 in exponential form is:

5693 = 56931

Now multiplying the highest exponent prime factors to calculate the LCM of 5686 and 5693.

LCM(5686,5693) = 21×28431×56931
LCM(5686,5693) = 32370398

Factors of 5686

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

1, 2, 2843, 5686

Factors of 5693

List of positive integer factors of 5693 that divides 5693 without a remainder.

1, 5693

Least Common Multiple of 5686 and 5693 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 5693, than apply into the LCM equation.

GCF(5686,5693) = 1
LCM(5686,5693) = ( 5686 × 5693) / 1
LCM(5686,5693) = 32370398 / 1
LCM(5686,5693) = 32370398

Properties of LCM 5686 and 5693

(i) The LCM of 5693 and 5686 is associative

LCM of 5686 and 5693 = LCM of 5693 and 5686

Related Least Common Multiples of 5686

Related Least Common Multiples of 5693

Frequently Asked Questions on LCM of 5686 and 5693

1. What is the LCM of 5686 and 5693?

Answer: LCM of 5686 and 5693 is 32370398.

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 5693?

Answer: Factors of 5693 are 1, 5693. There are 2 integers that are factors of 5693. The greatest factor of 5693 is 5693.

4. How to Find the LCM of 5686 and 5693?

Answer:

Least Common Multiple of 5686 and 5693 = 32370398

Step 1: Find the prime factorization of 5686

5686 = 2 x 2843

Step 2: Find the prime factorization of 5693

5693 = 5693

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

LCM = 32370398 = 2 x 2843 x 5693

Step 4: Therefore, the least common multiple of 5686 and 5693 is 32370398.