Least Common Multiple of 9520 and 9525

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 9525 the smallest integer that is 18135600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9520 and 9525 is 18135600.

LCM(9520,9525) = 18135600

LCM of 9520 and 9525

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

LCM of:
and

Least Common Multiple of 9520 and 9525

LCM of 9520 and 9525 is 18135600

Least common multiple can be found by multiplying the highest exponent prime factors of 9520 and 9525. First we will calculate the prime factors of 9520 and 9525.

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 9525


3 9525
5 3175
5 635
127 127
1

Prime factors of 9525 are 3, 5,127. Prime factorization of 9525 in exponential form is:

9525 = 31×52×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9520 and 9525.

LCM(9520,9525) = 24×31×52×71×171×1271
LCM(9520,9525) = 18135600

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 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525

Least Common Multiple of 9520 and 9525 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 9525, than apply into the LCM equation.

GCF(9520,9525) = 5
LCM(9520,9525) = ( 9520 × 9525) / 5
LCM(9520,9525) = 90678000 / 5
LCM(9520,9525) = 18135600

Properties of LCM 9520 and 9525

(i) The LCM of 9525 and 9520 is associative

LCM of 9520 and 9525 = LCM of 9525 and 9520

Related Least Common Multiples of 9520

Related Least Common Multiples of 9525

Frequently Asked Questions on LCM of 9520 and 9525

1. What is the LCM of 9520 and 9525?

Answer: LCM of 9520 and 9525 is 18135600.

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 9525?

Answer: Factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525. There are 12 integers that are factors of 9525. The greatest factor of 9525 is 9525.

4. How to Find the LCM of 9520 and 9525?

Answer:

Least Common Multiple of 9520 and 9525 = 18135600

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 9525

9525 = 3 x 5 x 5 x 127

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

LCM = 18135600 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 17 x 127

Step 4: Therefore, the least common multiple of 9520 and 9525 is 18135600.