Least Common Multiple of 9576 and 9582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9576 and 9582 the smallest integer that is 15292872 that is divisible by both numbers.

Least Common Multiple (LCM) of 9576 and 9582 is 15292872.

LCM(9576,9582) = 15292872

LCM of 9576 and 9582

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

LCM of:
and

Least Common Multiple of 9576 and 9582

LCM of 9576 and 9582 is 15292872

Least common multiple can be found by multiplying the highest exponent prime factors of 9576 and 9582. First we will calculate the prime factors of 9576 and 9582.

Prime Factorization of 9576


2 9576
2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 9576 are 2, 3, 7,19. Prime factorization of 9576 in exponential form is:

9576 = 23×32×71×191

Prime Factorization of 9582


2 9582
3 4791
1597 1597
1

Prime factors of 9582 are 2, 3,1597. Prime factorization of 9582 in exponential form is:

9582 = 21×31×15971

Now multiplying the highest exponent prime factors to calculate the LCM of 9576 and 9582.

LCM(9576,9582) = 23×32×71×191×15971
LCM(9576,9582) = 15292872

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576

Factors of 9582

List of positive integer factors of 9582 that divides 9582 without a remainder.

1, 2, 3, 6, 1597, 3194, 4791, 9582

Least Common Multiple of 9576 and 9582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9576 and 9582, than apply into the LCM equation.

GCF(9576,9582) = 6
LCM(9576,9582) = ( 9576 × 9582) / 6
LCM(9576,9582) = 91757232 / 6
LCM(9576,9582) = 15292872

Properties of LCM 9576 and 9582

(i) The LCM of 9582 and 9576 is associative

LCM of 9576 and 9582 = LCM of 9582 and 9576

Related Least Common Multiples of 9576

Related Least Common Multiples of 9582

Frequently Asked Questions on LCM of 9576 and 9582

1. What is the LCM of 9576 and 9582?

Answer: LCM of 9576 and 9582 is 15292872.

2. What are the Factors of 9576?

Answer: Factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576. There are 48 integers that are factors of 9576. The greatest factor of 9576 is 9576.

3. What are the Factors of 9582?

Answer: Factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582. There are 8 integers that are factors of 9582. The greatest factor of 9582 is 9582.

4. How to Find the LCM of 9576 and 9582?

Answer:

Least Common Multiple of 9576 and 9582 = 15292872

Step 1: Find the prime factorization of 9576

9576 = 2 x 2 x 2 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 9582

9582 = 2 x 3 x 1597

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

LCM = 15292872 = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 1597

Step 4: Therefore, the least common multiple of 9576 and 9582 is 15292872.