Least Common Multiple of 9562 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 9562 and 9570 the smallest integer that is 45754170 that is divisible by both numbers.

Least Common Multiple (LCM) of 9562 and 9570 is 45754170.

LCM(9562,9570) = 45754170

LCM of 9562 and 9570

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

LCM of:
and

Least Common Multiple of 9562 and 9570

LCM of 9562 and 9570 is 45754170

Least common multiple can be found by multiplying the highest exponent prime factors of 9562 and 9570. First we will calculate the prime factors of 9562 and 9570.

Prime Factorization of 9562


2 9562
7 4781
683 683
1

Prime factors of 9562 are 2, 7,683. Prime factorization of 9562 in exponential form is:

9562 = 21×71×6831

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 9562 and 9570.

LCM(9562,9570) = 21×31×51×71×111×291×6831
LCM(9562,9570) = 45754170

Factors of 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1, 2, 7, 14, 683, 1366, 4781, 9562

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 9562 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 9562 and 9570, than apply into the LCM equation.

GCF(9562,9570) = 2
LCM(9562,9570) = ( 9562 × 9570) / 2
LCM(9562,9570) = 91508340 / 2
LCM(9562,9570) = 45754170

Properties of LCM 9562 and 9570

(i) The LCM of 9570 and 9562 is associative

LCM of 9562 and 9570 = LCM of 9570 and 9562

Related Least Common Multiples of 9562

Related Least Common Multiples of 9570

Frequently Asked Questions on LCM of 9562 and 9570

1. What is the LCM of 9562 and 9570?

Answer: LCM of 9562 and 9570 is 45754170.

2. What are the Factors of 9562?

Answer: Factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562. There are 8 integers that are factors of 9562. The greatest factor of 9562 is 9562.

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 9562 and 9570?

Answer:

Least Common Multiple of 9562 and 9570 = 45754170

Step 1: Find the prime factorization of 9562

9562 = 2 x 7 x 683

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 = 45754170 = 2 x 3 x 5 x 7 x 11 x 29 x 683

Step 4: Therefore, the least common multiple of 9562 and 9570 is 45754170.