Least Common Multiple of 9506 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 9506 and 9507 the smallest integer that is 90373542 that is divisible by both numbers.

Least Common Multiple (LCM) of 9506 and 9507 is 90373542.

LCM(9506,9507) = 90373542

LCM of 9506 and 9507

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

LCM of:
and

Least Common Multiple of 9506 and 9507

LCM of 9506 and 9507 is 90373542

Least common multiple can be found by multiplying the highest exponent prime factors of 9506 and 9507. First we will calculate the prime factors of 9506 and 9507.

Prime Factorization of 9506


2 9506
7 4753
7 679
97 97
1

Prime factors of 9506 are 2, 7,97. Prime factorization of 9506 in exponential form is:

9506 = 21×72×971

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 9506 and 9507.

LCM(9506,9507) = 21×31×72×971×31691
LCM(9506,9507) = 90373542

Factors of 9506

List of positive integer factors of 9506 that divides 9506 without a remainder.

1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506

Factors of 9507

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

1, 3, 3169, 9507

Least Common Multiple of 9506 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 9506 and 9507, than apply into the LCM equation.

GCF(9506,9507) = 1
LCM(9506,9507) = ( 9506 × 9507) / 1
LCM(9506,9507) = 90373542 / 1
LCM(9506,9507) = 90373542

Properties of LCM 9506 and 9507

(i) The LCM of 9507 and 9506 is associative

LCM of 9506 and 9507 = LCM of 9507 and 9506

Related Least Common Multiples of 9506

Related Least Common Multiples of 9507

Frequently Asked Questions on LCM of 9506 and 9507

1. What is the LCM of 9506 and 9507?

Answer: LCM of 9506 and 9507 is 90373542.

2. What are the Factors of 9506?

Answer: Factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506. There are 12 integers that are factors of 9506. The greatest factor of 9506 is 9506.

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 9506 and 9507?

Answer:

Least Common Multiple of 9506 and 9507 = 90373542

Step 1: Find the prime factorization of 9506

9506 = 2 x 7 x 7 x 97

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 = 90373542 = 2 x 3 x 7 x 7 x 97 x 3169

Step 4: Therefore, the least common multiple of 9506 and 9507 is 90373542.