Least Common Multiple of 9519 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 9519 and 9525 the smallest integer that is 30222825 that is divisible by both numbers.

Least Common Multiple (LCM) of 9519 and 9525 is 30222825.

LCM(9519,9525) = 30222825

LCM of 9519 and 9525

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

LCM of:
and

Least Common Multiple of 9519 and 9525

LCM of 9519 and 9525 is 30222825

Least common multiple can be found by multiplying the highest exponent prime factors of 9519 and 9525. First we will calculate the prime factors of 9519 and 9525.

Prime Factorization of 9519


3 9519
19 3173
167 167
1

Prime factors of 9519 are 3, 19,167. Prime factorization of 9519 in exponential form is:

9519 = 31×191×1671

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 9519 and 9525.

LCM(9519,9525) = 31×52×191×1271×1671
LCM(9519,9525) = 30222825

Factors of 9519

List of positive integer factors of 9519 that divides 9519 without a remainder.

1, 3, 19, 57, 167, 501, 3173, 9519

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 9519 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 9519 and 9525, than apply into the LCM equation.

GCF(9519,9525) = 3
LCM(9519,9525) = ( 9519 × 9525) / 3
LCM(9519,9525) = 90668475 / 3
LCM(9519,9525) = 30222825

Properties of LCM 9519 and 9525

(i) The LCM of 9525 and 9519 is associative

LCM of 9519 and 9525 = LCM of 9525 and 9519

Related Least Common Multiples of 9519

Related Least Common Multiples of 9525

Frequently Asked Questions on LCM of 9519 and 9525

1. What is the LCM of 9519 and 9525?

Answer: LCM of 9519 and 9525 is 30222825.

2. What are the Factors of 9519?

Answer: Factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519. There are 8 integers that are factors of 9519. The greatest factor of 9519 is 9519.

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 9519 and 9525?

Answer:

Least Common Multiple of 9519 and 9525 = 30222825

Step 1: Find the prime factorization of 9519

9519 = 3 x 19 x 167

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 = 30222825 = 3 x 5 x 5 x 19 x 127 x 167

Step 4: Therefore, the least common multiple of 9519 and 9525 is 30222825.