Least Common Multiple of 9507 and 9510

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 9510 the smallest integer that is 30137190 that is divisible by both numbers.

Least Common Multiple (LCM) of 9507 and 9510 is 30137190.

LCM(9507,9510) = 30137190

LCM of 9507 and 9510

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

LCM of:
and

Least Common Multiple of 9507 and 9510

LCM of 9507 and 9510 is 30137190

Least common multiple can be found by multiplying the highest exponent prime factors of 9507 and 9510. First we will calculate the prime factors of 9507 and 9510.

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 9510


2 9510
3 4755
5 1585
317 317
1

Prime factors of 9510 are 2, 3, 5,317. Prime factorization of 9510 in exponential form is:

9510 = 21×31×51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 9507 and 9510.

LCM(9507,9510) = 21×31×51×3171×31691
LCM(9507,9510) = 30137190

Factors of 9507

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

1, 3, 3169, 9507

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510

Least Common Multiple of 9507 and 9510 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 9510, than apply into the LCM equation.

GCF(9507,9510) = 3
LCM(9507,9510) = ( 9507 × 9510) / 3
LCM(9507,9510) = 90411570 / 3
LCM(9507,9510) = 30137190

Properties of LCM 9507 and 9510

(i) The LCM of 9510 and 9507 is associative

LCM of 9507 and 9510 = LCM of 9510 and 9507

Related Least Common Multiples of 9507

Related Least Common Multiples of 9510

Frequently Asked Questions on LCM of 9507 and 9510

1. What is the LCM of 9507 and 9510?

Answer: LCM of 9507 and 9510 is 30137190.

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 9510?

Answer: Factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510. There are 16 integers that are factors of 9510. The greatest factor of 9510 is 9510.

4. How to Find the LCM of 9507 and 9510?

Answer:

Least Common Multiple of 9507 and 9510 = 30137190

Step 1: Find the prime factorization of 9507

9507 = 3 x 3169

Step 2: Find the prime factorization of 9510

9510 = 2 x 3 x 5 x 317

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

LCM = 30137190 = 2 x 3 x 5 x 317 x 3169

Step 4: Therefore, the least common multiple of 9507 and 9510 is 30137190.