Least Common Multiple of 9557 and 9564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9557 and 9564 the smallest integer that is 91403148 that is divisible by both numbers.

Least Common Multiple (LCM) of 9557 and 9564 is 91403148.

LCM(9557,9564) = 91403148

LCM of 9557 and 9564

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

LCM of:
and

Least Common Multiple of 9557 and 9564

LCM of 9557 and 9564 is 91403148

Least common multiple can be found by multiplying the highest exponent prime factors of 9557 and 9564. First we will calculate the prime factors of 9557 and 9564.

Prime Factorization of 9557


19 9557
503 503
1

Prime factors of 9557 are 19,503. Prime factorization of 9557 in exponential form is:

9557 = 191×5031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9557 and 9564.

LCM(9557,9564) = 22×31×191×5031×7971
LCM(9557,9564) = 91403148

Factors of 9557

List of positive integer factors of 9557 that divides 9557 without a remainder.

1, 19, 503, 9557

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

Least Common Multiple of 9557 and 9564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9557 and 9564, than apply into the LCM equation.

GCF(9557,9564) = 1
LCM(9557,9564) = ( 9557 × 9564) / 1
LCM(9557,9564) = 91403148 / 1
LCM(9557,9564) = 91403148

Properties of LCM 9557 and 9564

(i) The LCM of 9564 and 9557 is associative

LCM of 9557 and 9564 = LCM of 9564 and 9557

Related Least Common Multiples of 9557

Related Least Common Multiples of 9564

Frequently Asked Questions on LCM of 9557 and 9564

1. What is the LCM of 9557 and 9564?

Answer: LCM of 9557 and 9564 is 91403148.

2. What are the Factors of 9557?

Answer: Factors of 9557 are 1, 19, 503, 9557. There are 4 integers that are factors of 9557. The greatest factor of 9557 is 9557.

3. 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.

4. How to Find the LCM of 9557 and 9564?

Answer:

Least Common Multiple of 9557 and 9564 = 91403148

Step 1: Find the prime factorization of 9557

9557 = 19 x 503

Step 2: Find the prime factorization of 9564

9564 = 2 x 2 x 3 x 797

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

LCM = 91403148 = 2 x 2 x 3 x 19 x 503 x 797

Step 4: Therefore, the least common multiple of 9557 and 9564 is 91403148.