Least Common Multiple of 5675 and 5681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5675 and 5681 the smallest integer that is 32239675 that is divisible by both numbers.

Least Common Multiple (LCM) of 5675 and 5681 is 32239675.

LCM(5675,5681) = 32239675

LCM of 5675 and 5681

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

LCM of:
and

Least Common Multiple of 5675 and 5681

LCM of 5675 and 5681 is 32239675

Least common multiple can be found by multiplying the highest exponent prime factors of 5675 and 5681. First we will calculate the prime factors of 5675 and 5681.

Prime Factorization of 5675


5 5675
5 1135
227 227
1

Prime factors of 5675 are 5,227. Prime factorization of 5675 in exponential form is:

5675 = 52×2271

Prime Factorization of 5681


13 5681
19 437
23 23
1

Prime factors of 5681 are 13, 19,23. Prime factorization of 5681 in exponential form is:

5681 = 131×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5675 and 5681.

LCM(5675,5681) = 52×131×191×231×2271
LCM(5675,5681) = 32239675

Factors of 5675

List of positive integer factors of 5675 that divides 5675 without a remainder.

1, 5, 25, 227, 1135, 5675

Factors of 5681

List of positive integer factors of 5681 that divides 5681 without a remainder.

1, 13, 19, 23, 247, 299, 437, 5681

Least Common Multiple of 5675 and 5681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5675 and 5681, than apply into the LCM equation.

GCF(5675,5681) = 1
LCM(5675,5681) = ( 5675 × 5681) / 1
LCM(5675,5681) = 32239675 / 1
LCM(5675,5681) = 32239675

Properties of LCM 5675 and 5681

(i) The LCM of 5681 and 5675 is associative

LCM of 5675 and 5681 = LCM of 5681 and 5675

Related Least Common Multiples of 5675

Related Least Common Multiples of 5681

Frequently Asked Questions on LCM of 5675 and 5681

1. What is the LCM of 5675 and 5681?

Answer: LCM of 5675 and 5681 is 32239675.

2. What are the Factors of 5675?

Answer: Factors of 5675 are 1, 5, 25, 227, 1135, 5675. There are 6 integers that are factors of 5675. The greatest factor of 5675 is 5675.

3. What are the Factors of 5681?

Answer: Factors of 5681 are 1, 13, 19, 23, 247, 299, 437, 5681. There are 8 integers that are factors of 5681. The greatest factor of 5681 is 5681.

4. How to Find the LCM of 5675 and 5681?

Answer:

Least Common Multiple of 5675 and 5681 = 32239675

Step 1: Find the prime factorization of 5675

5675 = 5 x 5 x 227

Step 2: Find the prime factorization of 5681

5681 = 13 x 19 x 23

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

LCM = 32239675 = 5 x 5 x 13 x 19 x 23 x 227

Step 4: Therefore, the least common multiple of 5675 and 5681 is 32239675.