Least Common Multiple of 5667 and 5675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5667 and 5675 the smallest integer that is 32160225 that is divisible by both numbers.

Least Common Multiple (LCM) of 5667 and 5675 is 32160225.

LCM(5667,5675) = 32160225

LCM of 5667 and 5675

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

LCM of:
and

Least Common Multiple of 5667 and 5675

LCM of 5667 and 5675 is 32160225

Least common multiple can be found by multiplying the highest exponent prime factors of 5667 and 5675. First we will calculate the prime factors of 5667 and 5675.

Prime Factorization of 5667


3 5667
1889 1889
1

Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:

5667 = 31×18891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5667 and 5675.

LCM(5667,5675) = 31×52×2271×18891
LCM(5667,5675) = 32160225

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1, 3, 1889, 5667

Factors of 5675

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

1, 5, 25, 227, 1135, 5675

Least Common Multiple of 5667 and 5675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5667 and 5675, than apply into the LCM equation.

GCF(5667,5675) = 1
LCM(5667,5675) = ( 5667 × 5675) / 1
LCM(5667,5675) = 32160225 / 1
LCM(5667,5675) = 32160225

Properties of LCM 5667 and 5675

(i) The LCM of 5675 and 5667 is associative

LCM of 5667 and 5675 = LCM of 5675 and 5667

Related Least Common Multiples of 5667

Related Least Common Multiples of 5675

Frequently Asked Questions on LCM of 5667 and 5675

1. What is the LCM of 5667 and 5675?

Answer: LCM of 5667 and 5675 is 32160225.

2. What are the Factors of 5667?

Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.

3. 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.

4. How to Find the LCM of 5667 and 5675?

Answer:

Least Common Multiple of 5667 and 5675 = 32160225

Step 1: Find the prime factorization of 5667

5667 = 3 x 1889

Step 2: Find the prime factorization of 5675

5675 = 5 x 5 x 227

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

LCM = 32160225 = 3 x 5 x 5 x 227 x 1889

Step 4: Therefore, the least common multiple of 5667 and 5675 is 32160225.