Least Common Multiple of 5690 and 5698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5690 and 5698 the smallest integer that is 16210810 that is divisible by both numbers.

Least Common Multiple (LCM) of 5690 and 5698 is 16210810.

LCM(5690,5698) = 16210810

LCM of 5690 and 5698

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

LCM of:
and

Least Common Multiple of 5690 and 5698

LCM of 5690 and 5698 is 16210810

Least common multiple can be found by multiplying the highest exponent prime factors of 5690 and 5698. First we will calculate the prime factors of 5690 and 5698.

Prime Factorization of 5690


2 5690
5 2845
569 569
1

Prime factors of 5690 are 2, 5,569. Prime factorization of 5690 in exponential form is:

5690 = 21×51×5691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5690 and 5698.

LCM(5690,5698) = 21×51×71×111×371×5691
LCM(5690,5698) = 16210810

Factors of 5690

List of positive integer factors of 5690 that divides 5690 without a remainder.

1, 2, 5, 10, 569, 1138, 2845, 5690

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

Least Common Multiple of 5690 and 5698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5690 and 5698, than apply into the LCM equation.

GCF(5690,5698) = 2
LCM(5690,5698) = ( 5690 × 5698) / 2
LCM(5690,5698) = 32421620 / 2
LCM(5690,5698) = 16210810

Properties of LCM 5690 and 5698

(i) The LCM of 5698 and 5690 is associative

LCM of 5690 and 5698 = LCM of 5698 and 5690

Related Least Common Multiples of 5690

Related Least Common Multiples of 5698

Frequently Asked Questions on LCM of 5690 and 5698

1. What is the LCM of 5690 and 5698?

Answer: LCM of 5690 and 5698 is 16210810.

2. What are the Factors of 5690?

Answer: Factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690. There are 8 integers that are factors of 5690. The greatest factor of 5690 is 5690.

3. 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.

4. How to Find the LCM of 5690 and 5698?

Answer:

Least Common Multiple of 5690 and 5698 = 16210810

Step 1: Find the prime factorization of 5690

5690 = 2 x 5 x 569

Step 2: Find the prime factorization of 5698

5698 = 2 x 7 x 11 x 37

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

LCM = 16210810 = 2 x 5 x 7 x 11 x 37 x 569

Step 4: Therefore, the least common multiple of 5690 and 5698 is 16210810.