Least Common Multiple of 9584 and 9588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9584 and 9588 the smallest integer that is 22972848 that is divisible by both numbers.

Least Common Multiple (LCM) of 9584 and 9588 is 22972848.

LCM(9584,9588) = 22972848

LCM of 9584 and 9588

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

LCM of:
and

Least Common Multiple of 9584 and 9588

LCM of 9584 and 9588 is 22972848

Least common multiple can be found by multiplying the highest exponent prime factors of 9584 and 9588. First we will calculate the prime factors of 9584 and 9588.

Prime Factorization of 9584


2 9584
2 4792
2 2396
2 1198
599 599
1

Prime factors of 9584 are 2,599. Prime factorization of 9584 in exponential form is:

9584 = 24×5991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9584 and 9588.

LCM(9584,9588) = 24×31×171×471×5991
LCM(9584,9588) = 22972848

Factors of 9584

List of positive integer factors of 9584 that divides 9584 without a remainder.

1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584

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

Least Common Multiple of 9584 and 9588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9584 and 9588, than apply into the LCM equation.

GCF(9584,9588) = 4
LCM(9584,9588) = ( 9584 × 9588) / 4
LCM(9584,9588) = 91891392 / 4
LCM(9584,9588) = 22972848

Properties of LCM 9584 and 9588

(i) The LCM of 9588 and 9584 is associative

LCM of 9584 and 9588 = LCM of 9588 and 9584

Related Least Common Multiples of 9584

Related Least Common Multiples of 9588

Frequently Asked Questions on LCM of 9584 and 9588

1. What is the LCM of 9584 and 9588?

Answer: LCM of 9584 and 9588 is 22972848.

2. What are the Factors of 9584?

Answer: Factors of 9584 are 1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584. There are 10 integers that are factors of 9584. The greatest factor of 9584 is 9584.

3. 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.

4. How to Find the LCM of 9584 and 9588?

Answer:

Least Common Multiple of 9584 and 9588 = 22972848

Step 1: Find the prime factorization of 9584

9584 = 2 x 2 x 2 x 2 x 599

Step 2: Find the prime factorization of 9588

9588 = 2 x 2 x 3 x 17 x 47

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

LCM = 22972848 = 2 x 2 x 2 x 2 x 3 x 17 x 47 x 599

Step 4: Therefore, the least common multiple of 9584 and 9588 is 22972848.