Least Common Multiple of 5702 and 5706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5702 and 5706 the smallest integer that is 16267806 that is divisible by both numbers.

Least Common Multiple (LCM) of 5702 and 5706 is 16267806.

LCM(5702,5706) = 16267806

LCM of 5702 and 5706

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

LCM of:
and

Least Common Multiple of 5702 and 5706

LCM of 5702 and 5706 is 16267806

Least common multiple can be found by multiplying the highest exponent prime factors of 5702 and 5706. First we will calculate the prime factors of 5702 and 5706.

Prime Factorization of 5702


2 5702
2851 2851
1

Prime factors of 5702 are 2,2851. Prime factorization of 5702 in exponential form is:

5702 = 21×28511

Prime Factorization of 5706


2 5706
3 2853
3 951
317 317
1

Prime factors of 5706 are 2, 3,317. Prime factorization of 5706 in exponential form is:

5706 = 21×32×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 5702 and 5706.

LCM(5702,5706) = 21×32×3171×28511
LCM(5702,5706) = 16267806

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1, 2, 2851, 5702

Factors of 5706

List of positive integer factors of 5706 that divides 5706 without a remainder.

1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706

Least Common Multiple of 5702 and 5706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5702 and 5706, than apply into the LCM equation.

GCF(5702,5706) = 2
LCM(5702,5706) = ( 5702 × 5706) / 2
LCM(5702,5706) = 32535612 / 2
LCM(5702,5706) = 16267806

Properties of LCM 5702 and 5706

(i) The LCM of 5706 and 5702 is associative

LCM of 5702 and 5706 = LCM of 5706 and 5702

Related Least Common Multiples of 5702

Related Least Common Multiples of 5706

Frequently Asked Questions on LCM of 5702 and 5706

1. What is the LCM of 5702 and 5706?

Answer: LCM of 5702 and 5706 is 16267806.

2. What are the Factors of 5702?

Answer: Factors of 5702 are 1, 2, 2851, 5702. There are 4 integers that are factors of 5702. The greatest factor of 5702 is 5702.

3. What are the Factors of 5706?

Answer: Factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706. There are 12 integers that are factors of 5706. The greatest factor of 5706 is 5706.

4. How to Find the LCM of 5702 and 5706?

Answer:

Least Common Multiple of 5702 and 5706 = 16267806

Step 1: Find the prime factorization of 5702

5702 = 2 x 2851

Step 2: Find the prime factorization of 5706

5706 = 2 x 3 x 3 x 317

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

LCM = 16267806 = 2 x 3 x 3 x 317 x 2851

Step 4: Therefore, the least common multiple of 5702 and 5706 is 16267806.