Least Common Multiple of 9530 and 9536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9530 and 9536 the smallest integer that is 45439040 that is divisible by both numbers.

Least Common Multiple (LCM) of 9530 and 9536 is 45439040.

LCM(9530,9536) = 45439040

LCM of 9530 and 9536

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

LCM of:
and

Least Common Multiple of 9530 and 9536

LCM of 9530 and 9536 is 45439040

Least common multiple can be found by multiplying the highest exponent prime factors of 9530 and 9536. First we will calculate the prime factors of 9530 and 9536.

Prime Factorization of 9530


2 9530
5 4765
953 953
1

Prime factors of 9530 are 2, 5,953. Prime factorization of 9530 in exponential form is:

9530 = 21×51×9531

Prime Factorization of 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9530 and 9536.

LCM(9530,9536) = 26×51×1491×9531
LCM(9530,9536) = 45439040

Factors of 9530

List of positive integer factors of 9530 that divides 9530 without a remainder.

1, 2, 5, 10, 953, 1906, 4765, 9530

Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

Least Common Multiple of 9530 and 9536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9530 and 9536, than apply into the LCM equation.

GCF(9530,9536) = 2
LCM(9530,9536) = ( 9530 × 9536) / 2
LCM(9530,9536) = 90878080 / 2
LCM(9530,9536) = 45439040

Properties of LCM 9530 and 9536

(i) The LCM of 9536 and 9530 is associative

LCM of 9530 and 9536 = LCM of 9536 and 9530

Related Least Common Multiples of 9530

Related Least Common Multiples of 9536

Frequently Asked Questions on LCM of 9530 and 9536

1. What is the LCM of 9530 and 9536?

Answer: LCM of 9530 and 9536 is 45439040.

2. What are the Factors of 9530?

Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.

3. What are the Factors of 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

4. How to Find the LCM of 9530 and 9536?

Answer:

Least Common Multiple of 9530 and 9536 = 45439040

Step 1: Find the prime factorization of 9530

9530 = 2 x 5 x 953

Step 2: Find the prime factorization of 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

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

LCM = 45439040 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 149 x 953

Step 4: Therefore, the least common multiple of 9530 and 9536 is 45439040.