Least Common Multiple of 4658 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 4658 and 4664 the smallest integer that is 10862456 that is divisible by both numbers.

Least Common Multiple (LCM) of 4658 and 4664 is 10862456.

LCM(4658,4664) = 10862456

LCM of 4658 and 4664

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

LCM of:
and

Least Common Multiple of 4658 and 4664

LCM of 4658 and 4664 is 10862456

Least common multiple can be found by multiplying the highest exponent prime factors of 4658 and 4664. First we will calculate the prime factors of 4658 and 4664.

Prime Factorization of 4658


2 4658
17 2329
137 137
1

Prime factors of 4658 are 2, 17,137. Prime factorization of 4658 in exponential form is:

4658 = 21×171×1371

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 4658 and 4664.

LCM(4658,4664) = 23×111×171×531×1371
LCM(4658,4664) = 10862456

Factors of 4658

List of positive integer factors of 4658 that divides 4658 without a remainder.

1, 2, 17, 34, 137, 274, 2329, 4658

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 4658 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 4658 and 4664, than apply into the LCM equation.

GCF(4658,4664) = 2
LCM(4658,4664) = ( 4658 × 4664) / 2
LCM(4658,4664) = 21724912 / 2
LCM(4658,4664) = 10862456

Properties of LCM 4658 and 4664

(i) The LCM of 4664 and 4658 is associative

LCM of 4658 and 4664 = LCM of 4664 and 4658

Related Least Common Multiples of 4658

Related Least Common Multiples of 4664

Frequently Asked Questions on LCM of 4658 and 4664

1. What is the LCM of 4658 and 4664?

Answer: LCM of 4658 and 4664 is 10862456.

2. What are the Factors of 4658?

Answer: Factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658. There are 8 integers that are factors of 4658. The greatest factor of 4658 is 4658.

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 4658 and 4664?

Answer:

Least Common Multiple of 4658 and 4664 = 10862456

Step 1: Find the prime factorization of 4658

4658 = 2 x 17 x 137

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 = 10862456 = 2 x 2 x 2 x 11 x 17 x 53 x 137

Step 4: Therefore, the least common multiple of 4658 and 4664 is 10862456.