Least Common Multiple of 4660 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 4660 and 4664 the smallest integer that is 5433560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4660 and 4664 is 5433560.

LCM(4660,4664) = 5433560

LCM of 4660 and 4664

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

LCM of:
and

Least Common Multiple of 4660 and 4664

LCM of 4660 and 4664 is 5433560

Least common multiple can be found by multiplying the highest exponent prime factors of 4660 and 4664. First we will calculate the prime factors of 4660 and 4664.

Prime Factorization of 4660


2 4660
2 2330
5 1165
233 233
1

Prime factors of 4660 are 2, 5,233. Prime factorization of 4660 in exponential form is:

4660 = 22×51×2331

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 4660 and 4664.

LCM(4660,4664) = 23×51×111×531×2331
LCM(4660,4664) = 5433560

Factors of 4660

List of positive integer factors of 4660 that divides 4660 without a remainder.

1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660

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 4660 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 4660 and 4664, than apply into the LCM equation.

GCF(4660,4664) = 4
LCM(4660,4664) = ( 4660 × 4664) / 4
LCM(4660,4664) = 21734240 / 4
LCM(4660,4664) = 5433560

Properties of LCM 4660 and 4664

(i) The LCM of 4664 and 4660 is associative

LCM of 4660 and 4664 = LCM of 4664 and 4660

Related Least Common Multiples of 4660

Related Least Common Multiples of 4664

Frequently Asked Questions on LCM of 4660 and 4664

1. What is the LCM of 4660 and 4664?

Answer: LCM of 4660 and 4664 is 5433560.

2. What are the Factors of 4660?

Answer: Factors of 4660 are 1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660. There are 12 integers that are factors of 4660. The greatest factor of 4660 is 4660.

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 4660 and 4664?

Answer:

Least Common Multiple of 4660 and 4664 = 5433560

Step 1: Find the prime factorization of 4660

4660 = 2 x 2 x 5 x 233

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 = 5433560 = 2 x 2 x 2 x 5 x 11 x 53 x 233

Step 4: Therefore, the least common multiple of 4660 and 4664 is 5433560.