Least Common Multiple of 4656 and 4664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4656 and 4664 the smallest integer that is 2714448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4656 and 4664 is 2714448.

LCM(4656,4664) = 2714448

LCM of 4656 and 4664

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

LCM of:
and

Least Common Multiple of 4656 and 4664

LCM of 4656 and 4664 is 2714448

Least common multiple can be found by multiplying the highest exponent prime factors of 4656 and 4664. First we will calculate the prime factors of 4656 and 4664.

Prime Factorization of 4656


2 4656
2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 4656 are 2, 3,97. Prime factorization of 4656 in exponential form is:

4656 = 24×31×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4656 and 4664.

LCM(4656,4664) = 24×31×111×531×971
LCM(4656,4664) = 2714448

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656

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

Least Common Multiple of 4656 and 4664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4656 and 4664, than apply into the LCM equation.

GCF(4656,4664) = 8
LCM(4656,4664) = ( 4656 × 4664) / 8
LCM(4656,4664) = 21715584 / 8
LCM(4656,4664) = 2714448

Properties of LCM 4656 and 4664

(i) The LCM of 4664 and 4656 is associative

LCM of 4656 and 4664 = LCM of 4664 and 4656

Related Least Common Multiples of 4656

Related Least Common Multiples of 4664

Frequently Asked Questions on LCM of 4656 and 4664

1. What is the LCM of 4656 and 4664?

Answer: LCM of 4656 and 4664 is 2714448.

2. What are the Factors of 4656?

Answer: Factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656. There are 20 integers that are factors of 4656. The greatest factor of 4656 is 4656.

3. 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.

4. How to Find the LCM of 4656 and 4664?

Answer:

Least Common Multiple of 4656 and 4664 = 2714448

Step 1: Find the prime factorization of 4656

4656 = 2 x 2 x 2 x 2 x 3 x 97

Step 2: Find the prime factorization of 4664

4664 = 2 x 2 x 2 x 11 x 53

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

LCM = 2714448 = 2 x 2 x 2 x 2 x 3 x 11 x 53 x 97

Step 4: Therefore, the least common multiple of 4656 and 4664 is 2714448.