Least Common Multiple of 5664 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 5664 and 5669 the smallest integer that is 32109216 that is divisible by both numbers.

Least Common Multiple (LCM) of 5664 and 5669 is 32109216.

LCM(5664,5669) = 32109216

LCM of 5664 and 5669

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

LCM of:
and

Least Common Multiple of 5664 and 5669

LCM of 5664 and 5669 is 32109216

Least common multiple can be found by multiplying the highest exponent prime factors of 5664 and 5669. First we will calculate the prime factors of 5664 and 5669.

Prime Factorization of 5664


2 5664
2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 5664 are 2, 3,59. Prime factorization of 5664 in exponential form is:

5664 = 25×31×591

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 5664 and 5669.

LCM(5664,5669) = 25×31×591×56691
LCM(5664,5669) = 32109216

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664

Factors of 5669

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

1, 5669

Least Common Multiple of 5664 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 5664 and 5669, than apply into the LCM equation.

GCF(5664,5669) = 1
LCM(5664,5669) = ( 5664 × 5669) / 1
LCM(5664,5669) = 32109216 / 1
LCM(5664,5669) = 32109216

Properties of LCM 5664 and 5669

(i) The LCM of 5669 and 5664 is associative

LCM of 5664 and 5669 = LCM of 5669 and 5664

Related Least Common Multiples of 5664

Related Least Common Multiples of 5669

Frequently Asked Questions on LCM of 5664 and 5669

1. What is the LCM of 5664 and 5669?

Answer: LCM of 5664 and 5669 is 32109216.

2. What are the Factors of 5664?

Answer: Factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664. There are 24 integers that are factors of 5664. The greatest factor of 5664 is 5664.

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 5664 and 5669?

Answer:

Least Common Multiple of 5664 and 5669 = 32109216

Step 1: Find the prime factorization of 5664

5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59

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 = 32109216 = 2 x 2 x 2 x 2 x 2 x 3 x 59 x 5669

Step 4: Therefore, the least common multiple of 5664 and 5669 is 32109216.