Least Common Multiple of 5638 and 5642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5638 and 5642 the smallest integer that is 15904798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5638 and 5642 is 15904798.

LCM(5638,5642) = 15904798

LCM of 5638 and 5642

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

LCM of:
and

Least Common Multiple of 5638 and 5642

LCM of 5638 and 5642 is 15904798

Least common multiple can be found by multiplying the highest exponent prime factors of 5638 and 5642. First we will calculate the prime factors of 5638 and 5642.

Prime Factorization of 5638


2 5638
2819 2819
1

Prime factors of 5638 are 2,2819. Prime factorization of 5638 in exponential form is:

5638 = 21×28191

Prime Factorization of 5642


2 5642
7 2821
13 403
31 31
1

Prime factors of 5642 are 2, 7, 13,31. Prime factorization of 5642 in exponential form is:

5642 = 21×71×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5638 and 5642.

LCM(5638,5642) = 21×71×131×311×28191
LCM(5638,5642) = 15904798

Factors of 5638

List of positive integer factors of 5638 that divides 5638 without a remainder.

1, 2, 2819, 5638

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642

Least Common Multiple of 5638 and 5642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5638 and 5642, than apply into the LCM equation.

GCF(5638,5642) = 2
LCM(5638,5642) = ( 5638 × 5642) / 2
LCM(5638,5642) = 31809596 / 2
LCM(5638,5642) = 15904798

Properties of LCM 5638 and 5642

(i) The LCM of 5642 and 5638 is associative

LCM of 5638 and 5642 = LCM of 5642 and 5638

Related Least Common Multiples of 5638

Related Least Common Multiples of 5642

Frequently Asked Questions on LCM of 5638 and 5642

1. What is the LCM of 5638 and 5642?

Answer: LCM of 5638 and 5642 is 15904798.

2. What are the Factors of 5638?

Answer: Factors of 5638 are 1, 2, 2819, 5638. There are 4 integers that are factors of 5638. The greatest factor of 5638 is 5638.

3. What are the Factors of 5642?

Answer: Factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642. There are 16 integers that are factors of 5642. The greatest factor of 5642 is 5642.

4. How to Find the LCM of 5638 and 5642?

Answer:

Least Common Multiple of 5638 and 5642 = 15904798

Step 1: Find the prime factorization of 5638

5638 = 2 x 2819

Step 2: Find the prime factorization of 5642

5642 = 2 x 7 x 13 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 = 15904798 = 2 x 7 x 13 x 31 x 2819

Step 4: Therefore, the least common multiple of 5638 and 5642 is 15904798.