Least Common Multiple of 5665 and 5669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5665 and 5669 the smallest integer that is 32114885 that is divisible by both numbers.

Least Common Multiple (LCM) of 5665 and 5669 is 32114885.

LCM(5665,5669) = 32114885

LCM of 5665 and 5669

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

LCM of:
and

Least Common Multiple of 5665 and 5669

LCM of 5665 and 5669 is 32114885

Least common multiple can be found by multiplying the highest exponent prime factors of 5665 and 5669. First we will calculate the prime factors of 5665 and 5669.

Prime Factorization of 5665


5 5665
11 1133
103 103
1

Prime factors of 5665 are 5, 11,103. Prime factorization of 5665 in exponential form is:

5665 = 51×111×1031

Prime Factorization of 5669


5669 5669
1

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

5669 = 56691

Now multiplying the highest exponent prime factors to calculate the LCM of 5665 and 5669.

LCM(5665,5669) = 51×111×1031×56691
LCM(5665,5669) = 32114885

Factors of 5665

List of positive integer factors of 5665 that divides 5665 without a remainder.

1, 5, 11, 55, 103, 515, 1133, 5665

Factors of 5669

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

1, 5669

Least Common Multiple of 5665 and 5669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5665 and 5669, than apply into the LCM equation.

GCF(5665,5669) = 1
LCM(5665,5669) = ( 5665 × 5669) / 1
LCM(5665,5669) = 32114885 / 1
LCM(5665,5669) = 32114885

Properties of LCM 5665 and 5669

(i) The LCM of 5669 and 5665 is associative

LCM of 5665 and 5669 = LCM of 5669 and 5665

Related Least Common Multiples of 5665

Related Least Common Multiples of 5669

Frequently Asked Questions on LCM of 5665 and 5669

1. What is the LCM of 5665 and 5669?

Answer: LCM of 5665 and 5669 is 32114885.

2. What are the Factors of 5665?

Answer: Factors of 5665 are 1, 5, 11, 55, 103, 515, 1133, 5665. There are 8 integers that are factors of 5665. The greatest factor of 5665 is 5665.

3. 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.

4. How to Find the LCM of 5665 and 5669?

Answer:

Least Common Multiple of 5665 and 5669 = 32114885

Step 1: Find the prime factorization of 5665

5665 = 5 x 11 x 103

Step 2: Find the prime factorization of 5669

5669 = 5669

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

LCM = 32114885 = 5 x 11 x 103 x 5669

Step 4: Therefore, the least common multiple of 5665 and 5669 is 32114885.