Least Common Multiple of 9516 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 9516 and 9520 the smallest integer that is 22648080 that is divisible by both numbers.

Least Common Multiple (LCM) of 9516 and 9520 is 22648080.

LCM(9516,9520) = 22648080

LCM of 9516 and 9520

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

LCM of:
and

Least Common Multiple of 9516 and 9520

LCM of 9516 and 9520 is 22648080

Least common multiple can be found by multiplying the highest exponent prime factors of 9516 and 9520. First we will calculate the prime factors of 9516 and 9520.

Prime Factorization of 9516


2 9516
2 4758
3 2379
13 793
61 61
1

Prime factors of 9516 are 2, 3, 13,61. Prime factorization of 9516 in exponential form is:

9516 = 22×31×131×611

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 9516 and 9520.

LCM(9516,9520) = 24×31×51×71×131×171×611
LCM(9516,9520) = 22648080

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516

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 9516 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 9516 and 9520, than apply into the LCM equation.

GCF(9516,9520) = 4
LCM(9516,9520) = ( 9516 × 9520) / 4
LCM(9516,9520) = 90592320 / 4
LCM(9516,9520) = 22648080

Properties of LCM 9516 and 9520

(i) The LCM of 9520 and 9516 is associative

LCM of 9516 and 9520 = LCM of 9520 and 9516

Related Least Common Multiples of 9516

Related Least Common Multiples of 9520

Frequently Asked Questions on LCM of 9516 and 9520

1. What is the LCM of 9516 and 9520?

Answer: LCM of 9516 and 9520 is 22648080.

2. What are the Factors of 9516?

Answer: Factors of 9516 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516. There are 24 integers that are factors of 9516. The greatest factor of 9516 is 9516.

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 9516 and 9520?

Answer:

Least Common Multiple of 9516 and 9520 = 22648080

Step 1: Find the prime factorization of 9516

9516 = 2 x 2 x 3 x 13 x 61

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 = 22648080 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 x 61

Step 4: Therefore, the least common multiple of 9516 and 9520 is 22648080.