Least Common Multiple of 5698 and 5702

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 5702 the smallest integer that is 16244998 that is divisible by both numbers.

Least Common Multiple (LCM) of 5698 and 5702 is 16244998.

LCM(5698,5702) = 16244998

LCM of 5698 and 5702

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

LCM of:
and

Least Common Multiple of 5698 and 5702

LCM of 5698 and 5702 is 16244998

Least common multiple can be found by multiplying the highest exponent prime factors of 5698 and 5702. First we will calculate the prime factors of 5698 and 5702.

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 5702


2 5702
2851 2851
1

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

5702 = 21×28511

Now multiplying the highest exponent prime factors to calculate the LCM of 5698 and 5702.

LCM(5698,5702) = 21×71×111×371×28511
LCM(5698,5702) = 16244998

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 5702

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

1, 2, 2851, 5702

Least Common Multiple of 5698 and 5702 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 5702, than apply into the LCM equation.

GCF(5698,5702) = 2
LCM(5698,5702) = ( 5698 × 5702) / 2
LCM(5698,5702) = 32489996 / 2
LCM(5698,5702) = 16244998

Properties of LCM 5698 and 5702

(i) The LCM of 5702 and 5698 is associative

LCM of 5698 and 5702 = LCM of 5702 and 5698

Related Least Common Multiples of 5698

Related Least Common Multiples of 5702

Frequently Asked Questions on LCM of 5698 and 5702

1. What is the LCM of 5698 and 5702?

Answer: LCM of 5698 and 5702 is 16244998.

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 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.

4. How to Find the LCM of 5698 and 5702?

Answer:

Least Common Multiple of 5698 and 5702 = 16244998

Step 1: Find the prime factorization of 5698

5698 = 2 x 7 x 11 x 37

Step 2: Find the prime factorization of 5702

5702 = 2 x 2851

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

LCM = 16244998 = 2 x 7 x 11 x 37 x 2851

Step 4: Therefore, the least common multiple of 5698 and 5702 is 16244998.