Least Common Multiple of 9507 and 9515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9507 and 9515 the smallest integer that is 90459105 that is divisible by both numbers.

Least Common Multiple (LCM) of 9507 and 9515 is 90459105.

LCM(9507,9515) = 90459105

LCM of 9507 and 9515

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

LCM of:
and

Least Common Multiple of 9507 and 9515

LCM of 9507 and 9515 is 90459105

Least common multiple can be found by multiplying the highest exponent prime factors of 9507 and 9515. First we will calculate the prime factors of 9507 and 9515.

Prime Factorization of 9507


3 9507
3169 3169
1

Prime factors of 9507 are 3,3169. Prime factorization of 9507 in exponential form is:

9507 = 31×31691

Prime Factorization of 9515


5 9515
11 1903
173 173
1

Prime factors of 9515 are 5, 11,173. Prime factorization of 9515 in exponential form is:

9515 = 51×111×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 9507 and 9515.

LCM(9507,9515) = 31×51×111×1731×31691
LCM(9507,9515) = 90459105

Factors of 9507

List of positive integer factors of 9507 that divides 9507 without a remainder.

1, 3, 3169, 9507

Factors of 9515

List of positive integer factors of 9515 that divides 9515 without a remainder.

1, 5, 11, 55, 173, 865, 1903, 9515

Least Common Multiple of 9507 and 9515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9507 and 9515, than apply into the LCM equation.

GCF(9507,9515) = 1
LCM(9507,9515) = ( 9507 × 9515) / 1
LCM(9507,9515) = 90459105 / 1
LCM(9507,9515) = 90459105

Properties of LCM 9507 and 9515

(i) The LCM of 9515 and 9507 is associative

LCM of 9507 and 9515 = LCM of 9515 and 9507

Related Least Common Multiples of 9507

Related Least Common Multiples of 9515

Frequently Asked Questions on LCM of 9507 and 9515

1. What is the LCM of 9507 and 9515?

Answer: LCM of 9507 and 9515 is 90459105.

2. What are the Factors of 9507?

Answer: Factors of 9507 are 1, 3, 3169, 9507. There are 4 integers that are factors of 9507. The greatest factor of 9507 is 9507.

3. What are the Factors of 9515?

Answer: Factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515. There are 8 integers that are factors of 9515. The greatest factor of 9515 is 9515.

4. How to Find the LCM of 9507 and 9515?

Answer:

Least Common Multiple of 9507 and 9515 = 90459105

Step 1: Find the prime factorization of 9507

9507 = 3 x 3169

Step 2: Find the prime factorization of 9515

9515 = 5 x 11 x 173

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

LCM = 90459105 = 3 x 5 x 11 x 173 x 3169

Step 4: Therefore, the least common multiple of 9507 and 9515 is 90459105.