Least Common Multiple of 9513 and 9520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9513 and 9520 the smallest integer that is 12937680 that is divisible by both numbers.

Least Common Multiple (LCM) of 9513 and 9520 is 12937680.

LCM(9513,9520) = 12937680

LCM of 9513 and 9520

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

LCM of:
and

Least Common Multiple of 9513 and 9520

LCM of 9513 and 9520 is 12937680

Least common multiple can be found by multiplying the highest exponent prime factors of 9513 and 9520. First we will calculate the prime factors of 9513 and 9520.

Prime Factorization of 9513


3 9513
3 3171
7 1057
151 151
1

Prime factors of 9513 are 3, 7,151. Prime factorization of 9513 in exponential form is:

9513 = 32×71×1511

Prime Factorization of 9520


2 9520
2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 9520 are 2, 5, 7,17. Prime factorization of 9520 in exponential form is:

9520 = 24×51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 9513 and 9520.

LCM(9513,9520) = 24×32×51×71×171×1511
LCM(9513,9520) = 12937680

Factors of 9513

List of positive integer factors of 9513 that divides 9513 without a remainder.

1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513

Factors of 9520

List of positive integer factors of 9520 that divides 9520 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520

Least Common Multiple of 9513 and 9520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9513 and 9520, than apply into the LCM equation.

GCF(9513,9520) = 7
LCM(9513,9520) = ( 9513 × 9520) / 7
LCM(9513,9520) = 90563760 / 7
LCM(9513,9520) = 12937680

Properties of LCM 9513 and 9520

(i) The LCM of 9520 and 9513 is associative

LCM of 9513 and 9520 = LCM of 9520 and 9513

Related Least Common Multiples of 9513

Related Least Common Multiples of 9520

Frequently Asked Questions on LCM of 9513 and 9520

1. What is the LCM of 9513 and 9520?

Answer: LCM of 9513 and 9520 is 12937680.

2. What are the Factors of 9513?

Answer: Factors of 9513 are 1, 3, 7, 9, 21, 63, 151, 453, 1057, 1359, 3171, 9513. There are 12 integers that are factors of 9513. The greatest factor of 9513 is 9513.

3. What are the Factors of 9520?

Answer: Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. There are 40 integers that are factors of 9520. The greatest factor of 9520 is 9520.

4. How to Find the LCM of 9513 and 9520?

Answer:

Least Common Multiple of 9513 and 9520 = 12937680

Step 1: Find the prime factorization of 9513

9513 = 3 x 3 x 7 x 151

Step 2: Find the prime factorization of 9520

9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17

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

LCM = 12937680 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 151

Step 4: Therefore, the least common multiple of 9513 and 9520 is 12937680.