Least Common Multiple of 9502 and 9507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9502 and 9507 the smallest integer that is 90335514 that is divisible by both numbers.

Least Common Multiple (LCM) of 9502 and 9507 is 90335514.

LCM(9502,9507) = 90335514

LCM of 9502 and 9507

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

LCM of:
and

Least Common Multiple of 9502 and 9507

LCM of 9502 and 9507 is 90335514

Least common multiple can be found by multiplying the highest exponent prime factors of 9502 and 9507. First we will calculate the prime factors of 9502 and 9507.

Prime Factorization of 9502


2 9502
4751 4751
1

Prime factors of 9502 are 2,4751. Prime factorization of 9502 in exponential form is:

9502 = 21×47511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9502 and 9507.

LCM(9502,9507) = 21×31×31691×47511
LCM(9502,9507) = 90335514

Factors of 9502

List of positive integer factors of 9502 that divides 9502 without a remainder.

1, 2, 4751, 9502

Factors of 9507

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

1, 3, 3169, 9507

Least Common Multiple of 9502 and 9507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9502 and 9507, than apply into the LCM equation.

GCF(9502,9507) = 1
LCM(9502,9507) = ( 9502 × 9507) / 1
LCM(9502,9507) = 90335514 / 1
LCM(9502,9507) = 90335514

Properties of LCM 9502 and 9507

(i) The LCM of 9507 and 9502 is associative

LCM of 9502 and 9507 = LCM of 9507 and 9502

Related Least Common Multiples of 9502

Related Least Common Multiples of 9507

Frequently Asked Questions on LCM of 9502 and 9507

1. What is the LCM of 9502 and 9507?

Answer: LCM of 9502 and 9507 is 90335514.

2. What are the Factors of 9502?

Answer: Factors of 9502 are 1, 2, 4751, 9502. There are 4 integers that are factors of 9502. The greatest factor of 9502 is 9502.

3. 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.

4. How to Find the LCM of 9502 and 9507?

Answer:

Least Common Multiple of 9502 and 9507 = 90335514

Step 1: Find the prime factorization of 9502

9502 = 2 x 4751

Step 2: Find the prime factorization of 9507

9507 = 3 x 3169

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

LCM = 90335514 = 2 x 3 x 3169 x 4751

Step 4: Therefore, the least common multiple of 9502 and 9507 is 90335514.