Least Common Multiple of 9520 and 9526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9520 and 9526 the smallest integer that is 45343760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9520 and 9526 is 45343760.

LCM(9520,9526) = 45343760

LCM of 9520 and 9526

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

LCM of:
and

Least Common Multiple of 9520 and 9526

LCM of 9520 and 9526 is 45343760

Least common multiple can be found by multiplying the highest exponent prime factors of 9520 and 9526. First we will calculate the prime factors of 9520 and 9526.

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

Prime Factorization of 9526


2 9526
11 4763
433 433
1

Prime factors of 9526 are 2, 11,433. Prime factorization of 9526 in exponential form is:

9526 = 21×111×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 9520 and 9526.

LCM(9520,9526) = 24×51×71×111×171×4331
LCM(9520,9526) = 45343760

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

Factors of 9526

List of positive integer factors of 9526 that divides 9526 without a remainder.

1, 2, 11, 22, 433, 866, 4763, 9526

Least Common Multiple of 9520 and 9526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9520 and 9526, than apply into the LCM equation.

GCF(9520,9526) = 2
LCM(9520,9526) = ( 9520 × 9526) / 2
LCM(9520,9526) = 90687520 / 2
LCM(9520,9526) = 45343760

Properties of LCM 9520 and 9526

(i) The LCM of 9526 and 9520 is associative

LCM of 9520 and 9526 = LCM of 9526 and 9520

Related Least Common Multiples of 9520

Related Least Common Multiples of 9526

Frequently Asked Questions on LCM of 9520 and 9526

1. What is the LCM of 9520 and 9526?

Answer: LCM of 9520 and 9526 is 45343760.

2. 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.

3. What are the Factors of 9526?

Answer: Factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526. There are 8 integers that are factors of 9526. The greatest factor of 9526 is 9526.

4. How to Find the LCM of 9520 and 9526?

Answer:

Least Common Multiple of 9520 and 9526 = 45343760

Step 1: Find the prime factorization of 9520

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

Step 2: Find the prime factorization of 9526

9526 = 2 x 11 x 433

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

LCM = 45343760 = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 17 x 433

Step 4: Therefore, the least common multiple of 9520 and 9526 is 45343760.