Least Common Multiple of 5669 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 5669 and 5675 the smallest integer that is 32171575 that is divisible by both numbers.

Least Common Multiple (LCM) of 5669 and 5675 is 32171575.

LCM(5669,5675) = 32171575

LCM of 5669 and 5675

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

LCM of:
and

Least Common Multiple of 5669 and 5675

LCM of 5669 and 5675 is 32171575

Least common multiple can be found by multiplying the highest exponent prime factors of 5669 and 5675. First we will calculate the prime factors of 5669 and 5675.

Prime Factorization of 5669


5669 5669
1

Prime factors of 5669 are 5669. Prime factorization of 5669 in exponential form is:

5669 = 56691

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 5669 and 5675.

LCM(5669,5675) = 52×2271×56691
LCM(5669,5675) = 32171575

Factors of 5669

List of positive integer factors of 5669 that divides 5669 without a remainder.

1, 5669

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 5669 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 5669 and 5675, than apply into the LCM equation.

GCF(5669,5675) = 1
LCM(5669,5675) = ( 5669 × 5675) / 1
LCM(5669,5675) = 32171575 / 1
LCM(5669,5675) = 32171575

Properties of LCM 5669 and 5675

(i) The LCM of 5675 and 5669 is associative

LCM of 5669 and 5675 = LCM of 5675 and 5669

Related Least Common Multiples of 5669

Related Least Common Multiples of 5675

Frequently Asked Questions on LCM of 5669 and 5675

1. What is the LCM of 5669 and 5675?

Answer: LCM of 5669 and 5675 is 32171575.

2. What are the Factors of 5669?

Answer: Factors of 5669 are 1, 5669. There are 2 integers that are factors of 5669. The greatest factor of 5669 is 5669.

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 5669 and 5675?

Answer:

Least Common Multiple of 5669 and 5675 = 32171575

Step 1: Find the prime factorization of 5669

5669 = 5669

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 = 32171575 = 5 x 5 x 227 x 5669

Step 4: Therefore, the least common multiple of 5669 and 5675 is 32171575.