Least Common Multiple of 9572 and 9580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9572 and 9580 the smallest integer that is 22924940 that is divisible by both numbers.

Least Common Multiple (LCM) of 9572 and 9580 is 22924940.

LCM(9572,9580) = 22924940

LCM of 9572 and 9580

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

LCM of:
and

Least Common Multiple of 9572 and 9580

LCM of 9572 and 9580 is 22924940

Least common multiple can be found by multiplying the highest exponent prime factors of 9572 and 9580. First we will calculate the prime factors of 9572 and 9580.

Prime Factorization of 9572


2 9572
2 4786
2393 2393
1

Prime factors of 9572 are 2,2393. Prime factorization of 9572 in exponential form is:

9572 = 22×23931

Prime Factorization of 9580


2 9580
2 4790
5 2395
479 479
1

Prime factors of 9580 are 2, 5,479. Prime factorization of 9580 in exponential form is:

9580 = 22×51×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 9572 and 9580.

LCM(9572,9580) = 22×51×4791×23931
LCM(9572,9580) = 22924940

Factors of 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1, 2, 4, 2393, 4786, 9572

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580

Least Common Multiple of 9572 and 9580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9572 and 9580, than apply into the LCM equation.

GCF(9572,9580) = 4
LCM(9572,9580) = ( 9572 × 9580) / 4
LCM(9572,9580) = 91699760 / 4
LCM(9572,9580) = 22924940

Properties of LCM 9572 and 9580

(i) The LCM of 9580 and 9572 is associative

LCM of 9572 and 9580 = LCM of 9580 and 9572

Related Least Common Multiples of 9572

Related Least Common Multiples of 9580

Frequently Asked Questions on LCM of 9572 and 9580

1. What is the LCM of 9572 and 9580?

Answer: LCM of 9572 and 9580 is 22924940.

2. What are the Factors of 9572?

Answer: Factors of 9572 are 1, 2, 4, 2393, 4786, 9572. There are 6 integers that are factors of 9572. The greatest factor of 9572 is 9572.

3. What are the Factors of 9580?

Answer: Factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580. There are 12 integers that are factors of 9580. The greatest factor of 9580 is 9580.

4. How to Find the LCM of 9572 and 9580?

Answer:

Least Common Multiple of 9572 and 9580 = 22924940

Step 1: Find the prime factorization of 9572

9572 = 2 x 2 x 2393

Step 2: Find the prime factorization of 9580

9580 = 2 x 2 x 5 x 479

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

LCM = 22924940 = 2 x 2 x 5 x 479 x 2393

Step 4: Therefore, the least common multiple of 9572 and 9580 is 22924940.