Least Common Multiple of 5698 and 5704

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 5704 the smallest integer that is 16250696 that is divisible by both numbers.

Least Common Multiple (LCM) of 5698 and 5704 is 16250696.

LCM(5698,5704) = 16250696

LCM of 5698 and 5704

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

LCM of:
and

Least Common Multiple of 5698 and 5704

LCM of 5698 and 5704 is 16250696

Least common multiple can be found by multiplying the highest exponent prime factors of 5698 and 5704. First we will calculate the prime factors of 5698 and 5704.

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 5704


2 5704
2 2852
2 1426
23 713
31 31
1

Prime factors of 5704 are 2, 23,31. Prime factorization of 5704 in exponential form is:

5704 = 23×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5698 and 5704.

LCM(5698,5704) = 23×71×111×231×311×371
LCM(5698,5704) = 16250696

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 5704

List of positive integer factors of 5704 that divides 5704 without a remainder.

1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704

Least Common Multiple of 5698 and 5704 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 5704, than apply into the LCM equation.

GCF(5698,5704) = 2
LCM(5698,5704) = ( 5698 × 5704) / 2
LCM(5698,5704) = 32501392 / 2
LCM(5698,5704) = 16250696

Properties of LCM 5698 and 5704

(i) The LCM of 5704 and 5698 is associative

LCM of 5698 and 5704 = LCM of 5704 and 5698

Related Least Common Multiples of 5698

Related Least Common Multiples of 5704

Frequently Asked Questions on LCM of 5698 and 5704

1. What is the LCM of 5698 and 5704?

Answer: LCM of 5698 and 5704 is 16250696.

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 5704?

Answer: Factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704. There are 16 integers that are factors of 5704. The greatest factor of 5704 is 5704.

4. How to Find the LCM of 5698 and 5704?

Answer:

Least Common Multiple of 5698 and 5704 = 16250696

Step 1: Find the prime factorization of 5698

5698 = 2 x 7 x 11 x 37

Step 2: Find the prime factorization of 5704

5704 = 2 x 2 x 2 x 23 x 31

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

LCM = 16250696 = 2 x 2 x 2 x 7 x 11 x 23 x 31 x 37

Step 4: Therefore, the least common multiple of 5698 and 5704 is 16250696.