Least Common Multiple of 9588 and 9592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9588 and 9592 the smallest integer that is 22992024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9588 and 9592 is 22992024.

LCM(9588,9592) = 22992024

LCM of 9588 and 9592

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

LCM of:
and

Least Common Multiple of 9588 and 9592

LCM of 9588 and 9592 is 22992024

Least common multiple can be found by multiplying the highest exponent prime factors of 9588 and 9592. First we will calculate the prime factors of 9588 and 9592.

Prime Factorization of 9588


2 9588
2 4794
3 2397
17 799
47 47
1

Prime factors of 9588 are 2, 3, 17,47. Prime factorization of 9588 in exponential form is:

9588 = 22×31×171×471

Prime Factorization of 9592


2 9592
2 4796
2 2398
11 1199
109 109
1

Prime factors of 9592 are 2, 11,109. Prime factorization of 9592 in exponential form is:

9592 = 23×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9588 and 9592.

LCM(9588,9592) = 23×31×111×171×471×1091
LCM(9588,9592) = 22992024

Factors of 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588

Factors of 9592

List of positive integer factors of 9592 that divides 9592 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592

Least Common Multiple of 9588 and 9592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9588 and 9592, than apply into the LCM equation.

GCF(9588,9592) = 4
LCM(9588,9592) = ( 9588 × 9592) / 4
LCM(9588,9592) = 91968096 / 4
LCM(9588,9592) = 22992024

Properties of LCM 9588 and 9592

(i) The LCM of 9592 and 9588 is associative

LCM of 9588 and 9592 = LCM of 9592 and 9588

Related Least Common Multiples of 9588

Related Least Common Multiples of 9592

Frequently Asked Questions on LCM of 9588 and 9592

1. What is the LCM of 9588 and 9592?

Answer: LCM of 9588 and 9592 is 22992024.

2. What are the Factors of 9588?

Answer: Factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588. There are 24 integers that are factors of 9588. The greatest factor of 9588 is 9588.

3. What are the Factors of 9592?

Answer: Factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592. There are 16 integers that are factors of 9592. The greatest factor of 9592 is 9592.

4. How to Find the LCM of 9588 and 9592?

Answer:

Least Common Multiple of 9588 and 9592 = 22992024

Step 1: Find the prime factorization of 9588

9588 = 2 x 2 x 3 x 17 x 47

Step 2: Find the prime factorization of 9592

9592 = 2 x 2 x 2 x 11 x 109

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

LCM = 22992024 = 2 x 2 x 2 x 3 x 11 x 17 x 47 x 109

Step 4: Therefore, the least common multiple of 9588 and 9592 is 22992024.