Least Common Multiple of 5698 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 5698 and 5706 the smallest integer that is 16256394 that is divisible by both numbers.

Least Common Multiple (LCM) of 5698 and 5706 is 16256394.

LCM(5698,5706) = 16256394

LCM of 5698 and 5706

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

LCM of:
and

Least Common Multiple of 5698 and 5706

LCM of 5698 and 5706 is 16256394

Least common multiple can be found by multiplying the highest exponent prime factors of 5698 and 5706. First we will calculate the prime factors of 5698 and 5706.

Prime Factorization of 5698


2 5698
7 2849
11 407
37 37
1

Prime factors of 5698 are 2, 7, 11,37. Prime factorization of 5698 in exponential form is:

5698 = 21×71×111×371

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 5698 and 5706.

LCM(5698,5706) = 21×32×71×111×371×3171
LCM(5698,5706) = 16256394

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698

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 5698 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 5698 and 5706, than apply into the LCM equation.

GCF(5698,5706) = 2
LCM(5698,5706) = ( 5698 × 5706) / 2
LCM(5698,5706) = 32512788 / 2
LCM(5698,5706) = 16256394

Properties of LCM 5698 and 5706

(i) The LCM of 5706 and 5698 is associative

LCM of 5698 and 5706 = LCM of 5706 and 5698

Related Least Common Multiples of 5698

Related Least Common Multiples of 5706

Frequently Asked Questions on LCM of 5698 and 5706

1. What is the LCM of 5698 and 5706?

Answer: LCM of 5698 and 5706 is 16256394.

2. What are the Factors of 5698?

Answer: Factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698. There are 16 integers that are factors of 5698. The greatest factor of 5698 is 5698.

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 5698 and 5706?

Answer:

Least Common Multiple of 5698 and 5706 = 16256394

Step 1: Find the prime factorization of 5698

5698 = 2 x 7 x 11 x 37

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 = 16256394 = 2 x 3 x 3 x 7 x 11 x 37 x 317

Step 4: Therefore, the least common multiple of 5698 and 5706 is 16256394.