Least Common Multiple of 9564 and 9570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9564 and 9570 the smallest integer that is 15254580 that is divisible by both numbers.

Least Common Multiple (LCM) of 9564 and 9570 is 15254580.

LCM(9564,9570) = 15254580

LCM of 9564 and 9570

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

LCM of:
and

Least Common Multiple of 9564 and 9570

LCM of 9564 and 9570 is 15254580

Least common multiple can be found by multiplying the highest exponent prime factors of 9564 and 9570. First we will calculate the prime factors of 9564 and 9570.

Prime Factorization of 9564


2 9564
2 4782
3 2391
797 797
1

Prime factors of 9564 are 2, 3,797. Prime factorization of 9564 in exponential form is:

9564 = 22×31×7971

Prime Factorization of 9570


2 9570
3 4785
5 1595
11 319
29 29
1

Prime factors of 9570 are 2, 3, 5, 11,29. Prime factorization of 9570 in exponential form is:

9570 = 21×31×51×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9564 and 9570.

LCM(9564,9570) = 22×31×51×111×291×7971
LCM(9564,9570) = 15254580

Factors of 9564

List of positive integer factors of 9564 that divides 9564 without a remainder.

1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564

Factors of 9570

List of positive integer factors of 9570 that divides 9570 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570

Least Common Multiple of 9564 and 9570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9564 and 9570, than apply into the LCM equation.

GCF(9564,9570) = 6
LCM(9564,9570) = ( 9564 × 9570) / 6
LCM(9564,9570) = 91527480 / 6
LCM(9564,9570) = 15254580

Properties of LCM 9564 and 9570

(i) The LCM of 9570 and 9564 is associative

LCM of 9564 and 9570 = LCM of 9570 and 9564

Related Least Common Multiples of 9564

Related Least Common Multiples of 9570

Frequently Asked Questions on LCM of 9564 and 9570

1. What is the LCM of 9564 and 9570?

Answer: LCM of 9564 and 9570 is 15254580.

2. What are the Factors of 9564?

Answer: Factors of 9564 are 1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564. There are 12 integers that are factors of 9564. The greatest factor of 9564 is 9564.

3. What are the Factors of 9570?

Answer: Factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570. There are 32 integers that are factors of 9570. The greatest factor of 9570 is 9570.

4. How to Find the LCM of 9564 and 9570?

Answer:

Least Common Multiple of 9564 and 9570 = 15254580

Step 1: Find the prime factorization of 9564

9564 = 2 x 2 x 3 x 797

Step 2: Find the prime factorization of 9570

9570 = 2 x 3 x 5 x 11 x 29

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

LCM = 15254580 = 2 x 2 x 3 x 5 x 11 x 29 x 797

Step 4: Therefore, the least common multiple of 9564 and 9570 is 15254580.