Least Common Multiple of 5658 and 5664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5658 and 5664 the smallest integer that is 5341152 that is divisible by both numbers.

Least Common Multiple (LCM) of 5658 and 5664 is 5341152.

LCM(5658,5664) = 5341152

LCM of 5658 and 5664

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

LCM of:
and

Least Common Multiple of 5658 and 5664

LCM of 5658 and 5664 is 5341152

Least common multiple can be found by multiplying the highest exponent prime factors of 5658 and 5664. First we will calculate the prime factors of 5658 and 5664.

Prime Factorization of 5658


2 5658
3 2829
23 943
41 41
1

Prime factors of 5658 are 2, 3, 23,41. Prime factorization of 5658 in exponential form is:

5658 = 21×31×231×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5658 and 5664.

LCM(5658,5664) = 25×31×231×411×591
LCM(5658,5664) = 5341152

Factors of 5658

List of positive integer factors of 5658 that divides 5658 without a remainder.

1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658

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

Least Common Multiple of 5658 and 5664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5658 and 5664, than apply into the LCM equation.

GCF(5658,5664) = 6
LCM(5658,5664) = ( 5658 × 5664) / 6
LCM(5658,5664) = 32046912 / 6
LCM(5658,5664) = 5341152

Properties of LCM 5658 and 5664

(i) The LCM of 5664 and 5658 is associative

LCM of 5658 and 5664 = LCM of 5664 and 5658

Related Least Common Multiples of 5658

Related Least Common Multiples of 5664

Frequently Asked Questions on LCM of 5658 and 5664

1. What is the LCM of 5658 and 5664?

Answer: LCM of 5658 and 5664 is 5341152.

2. What are the Factors of 5658?

Answer: Factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658. There are 16 integers that are factors of 5658. The greatest factor of 5658 is 5658.

3. 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.

4. How to Find the LCM of 5658 and 5664?

Answer:

Least Common Multiple of 5658 and 5664 = 5341152

Step 1: Find the prime factorization of 5658

5658 = 2 x 3 x 23 x 41

Step 2: Find the prime factorization of 5664

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

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

LCM = 5341152 = 2 x 2 x 2 x 2 x 2 x 3 x 23 x 41 x 59

Step 4: Therefore, the least common multiple of 5658 and 5664 is 5341152.