Least Common Multiple of 9588 and 9594

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 9594 the smallest integer that is 15331212 that is divisible by both numbers.

Least Common Multiple (LCM) of 9588 and 9594 is 15331212.

LCM(9588,9594) = 15331212

LCM of 9588 and 9594

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

LCM of:
and

Least Common Multiple of 9588 and 9594

LCM of 9588 and 9594 is 15331212

Least common multiple can be found by multiplying the highest exponent prime factors of 9588 and 9594. First we will calculate the prime factors of 9588 and 9594.

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 9594


2 9594
3 4797
3 1599
13 533
41 41
1

Prime factors of 9594 are 2, 3, 13,41. Prime factorization of 9594 in exponential form is:

9594 = 21×32×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9588 and 9594.

LCM(9588,9594) = 22×32×131×171×411×471
LCM(9588,9594) = 15331212

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 9594

List of positive integer factors of 9594 that divides 9594 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594

Least Common Multiple of 9588 and 9594 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 9594, than apply into the LCM equation.

GCF(9588,9594) = 6
LCM(9588,9594) = ( 9588 × 9594) / 6
LCM(9588,9594) = 91987272 / 6
LCM(9588,9594) = 15331212

Properties of LCM 9588 and 9594

(i) The LCM of 9594 and 9588 is associative

LCM of 9588 and 9594 = LCM of 9594 and 9588

Related Least Common Multiples of 9588

Related Least Common Multiples of 9594

Frequently Asked Questions on LCM of 9588 and 9594

1. What is the LCM of 9588 and 9594?

Answer: LCM of 9588 and 9594 is 15331212.

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 9594?

Answer: Factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594. There are 24 integers that are factors of 9594. The greatest factor of 9594 is 9594.

4. How to Find the LCM of 9588 and 9594?

Answer:

Least Common Multiple of 9588 and 9594 = 15331212

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 9594

9594 = 2 x 3 x 3 x 13 x 41

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

LCM = 15331212 = 2 x 2 x 3 x 3 x 13 x 17 x 41 x 47

Step 4: Therefore, the least common multiple of 9588 and 9594 is 15331212.