Least Common Multiple of 5669 and 5676

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 5676 the smallest integer that is 32177244 that is divisible by both numbers.

Least Common Multiple (LCM) of 5669 and 5676 is 32177244.

LCM(5669,5676) = 32177244

LCM of 5669 and 5676

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

LCM of:
and

Least Common Multiple of 5669 and 5676

LCM of 5669 and 5676 is 32177244

Least common multiple can be found by multiplying the highest exponent prime factors of 5669 and 5676. First we will calculate the prime factors of 5669 and 5676.

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 5676


2 5676
2 2838
3 1419
11 473
43 43
1

Prime factors of 5676 are 2, 3, 11,43. Prime factorization of 5676 in exponential form is:

5676 = 22×31×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5669 and 5676.

LCM(5669,5676) = 22×31×111×431×56691
LCM(5669,5676) = 32177244

Factors of 5669

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

1, 5669

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676

Least Common Multiple of 5669 and 5676 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 5676, than apply into the LCM equation.

GCF(5669,5676) = 1
LCM(5669,5676) = ( 5669 × 5676) / 1
LCM(5669,5676) = 32177244 / 1
LCM(5669,5676) = 32177244

Properties of LCM 5669 and 5676

(i) The LCM of 5676 and 5669 is associative

LCM of 5669 and 5676 = LCM of 5676 and 5669

Related Least Common Multiples of 5669

Related Least Common Multiples of 5676

Frequently Asked Questions on LCM of 5669 and 5676

1. What is the LCM of 5669 and 5676?

Answer: LCM of 5669 and 5676 is 32177244.

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 5676?

Answer: Factors of 5676 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676. There are 24 integers that are factors of 5676. The greatest factor of 5676 is 5676.

4. How to Find the LCM of 5669 and 5676?

Answer:

Least Common Multiple of 5669 and 5676 = 32177244

Step 1: Find the prime factorization of 5669

5669 = 5669

Step 2: Find the prime factorization of 5676

5676 = 2 x 2 x 3 x 11 x 43

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

LCM = 32177244 = 2 x 2 x 3 x 11 x 43 x 5669

Step 4: Therefore, the least common multiple of 5669 and 5676 is 32177244.