Least Common Multiple of 4664 and 4669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4664 and 4669 the smallest integer that is 21776216 that is divisible by both numbers.

Least Common Multiple (LCM) of 4664 and 4669 is 21776216.

LCM(4664,4669) = 21776216

LCM of 4664 and 4669

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

LCM of:
and

Least Common Multiple of 4664 and 4669

LCM of 4664 and 4669 is 21776216

Least common multiple can be found by multiplying the highest exponent prime factors of 4664 and 4669. First we will calculate the prime factors of 4664 and 4669.

Prime Factorization of 4664


2 4664
2 2332
2 1166
11 583
53 53
1

Prime factors of 4664 are 2, 11,53. Prime factorization of 4664 in exponential form is:

4664 = 23×111×531

Prime Factorization of 4669


7 4669
23 667
29 29
1

Prime factors of 4669 are 7, 23,29. Prime factorization of 4669 in exponential form is:

4669 = 71×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4664 and 4669.

LCM(4664,4669) = 23×71×111×231×291×531
LCM(4664,4669) = 21776216

Factors of 4664

List of positive integer factors of 4664 that divides 4664 without a remainder.

1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664

Factors of 4669

List of positive integer factors of 4669 that divides 4669 without a remainder.

1, 7, 23, 29, 161, 203, 667, 4669

Least Common Multiple of 4664 and 4669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4664 and 4669, than apply into the LCM equation.

GCF(4664,4669) = 1
LCM(4664,4669) = ( 4664 × 4669) / 1
LCM(4664,4669) = 21776216 / 1
LCM(4664,4669) = 21776216

Properties of LCM 4664 and 4669

(i) The LCM of 4669 and 4664 is associative

LCM of 4664 and 4669 = LCM of 4669 and 4664

Related Least Common Multiples of 4664

Related Least Common Multiples of 4669

Frequently Asked Questions on LCM of 4664 and 4669

1. What is the LCM of 4664 and 4669?

Answer: LCM of 4664 and 4669 is 21776216.

2. What are the Factors of 4664?

Answer: Factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664. There are 16 integers that are factors of 4664. The greatest factor of 4664 is 4664.

3. What are the Factors of 4669?

Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.

4. How to Find the LCM of 4664 and 4669?

Answer:

Least Common Multiple of 4664 and 4669 = 21776216

Step 1: Find the prime factorization of 4664

4664 = 2 x 2 x 2 x 11 x 53

Step 2: Find the prime factorization of 4669

4669 = 7 x 23 x 29

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

LCM = 21776216 = 2 x 2 x 2 x 7 x 11 x 23 x 29 x 53

Step 4: Therefore, the least common multiple of 4664 and 4669 is 21776216.