Least Common Multiple of 5686 and 5694

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 5694 the smallest integer that is 16188042 that is divisible by both numbers.

Least Common Multiple (LCM) of 5686 and 5694 is 16188042.

LCM(5686,5694) = 16188042

LCM of 5686 and 5694

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

LCM of:
and

Least Common Multiple of 5686 and 5694

LCM of 5686 and 5694 is 16188042

Least common multiple can be found by multiplying the highest exponent prime factors of 5686 and 5694. First we will calculate the prime factors of 5686 and 5694.

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 5694


2 5694
3 2847
13 949
73 73
1

Prime factors of 5694 are 2, 3, 13,73. Prime factorization of 5694 in exponential form is:

5694 = 21×31×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5686 and 5694.

LCM(5686,5694) = 21×31×131×731×28431
LCM(5686,5694) = 16188042

Factors of 5686

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

1, 2, 2843, 5686

Factors of 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694

Least Common Multiple of 5686 and 5694 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 5694, than apply into the LCM equation.

GCF(5686,5694) = 2
LCM(5686,5694) = ( 5686 × 5694) / 2
LCM(5686,5694) = 32376084 / 2
LCM(5686,5694) = 16188042

Properties of LCM 5686 and 5694

(i) The LCM of 5694 and 5686 is associative

LCM of 5686 and 5694 = LCM of 5694 and 5686

Related Least Common Multiples of 5686

Related Least Common Multiples of 5694

Frequently Asked Questions on LCM of 5686 and 5694

1. What is the LCM of 5686 and 5694?

Answer: LCM of 5686 and 5694 is 16188042.

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 5694?

Answer: Factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694. There are 16 integers that are factors of 5694. The greatest factor of 5694 is 5694.

4. How to Find the LCM of 5686 and 5694?

Answer:

Least Common Multiple of 5686 and 5694 = 16188042

Step 1: Find the prime factorization of 5686

5686 = 2 x 2843

Step 2: Find the prime factorization of 5694

5694 = 2 x 3 x 13 x 73

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

LCM = 16188042 = 2 x 3 x 13 x 73 x 2843

Step 4: Therefore, the least common multiple of 5686 and 5694 is 16188042.