Least Common Multiple of 9501 and 9506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9501 and 9506 the smallest integer that is 90316506 that is divisible by both numbers.

Least Common Multiple (LCM) of 9501 and 9506 is 90316506.

LCM(9501,9506) = 90316506

LCM of 9501 and 9506

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

LCM of:
and

Least Common Multiple of 9501 and 9506

LCM of 9501 and 9506 is 90316506

Least common multiple can be found by multiplying the highest exponent prime factors of 9501 and 9506. First we will calculate the prime factors of 9501 and 9506.

Prime Factorization of 9501


3 9501
3167 3167
1

Prime factors of 9501 are 3,3167. Prime factorization of 9501 in exponential form is:

9501 = 31×31671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9501 and 9506.

LCM(9501,9506) = 21×31×72×971×31671
LCM(9501,9506) = 90316506

Factors of 9501

List of positive integer factors of 9501 that divides 9501 without a remainder.

1, 3, 3167, 9501

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

Least Common Multiple of 9501 and 9506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9501 and 9506, than apply into the LCM equation.

GCF(9501,9506) = 1
LCM(9501,9506) = ( 9501 × 9506) / 1
LCM(9501,9506) = 90316506 / 1
LCM(9501,9506) = 90316506

Properties of LCM 9501 and 9506

(i) The LCM of 9506 and 9501 is associative

LCM of 9501 and 9506 = LCM of 9506 and 9501

Related Least Common Multiples of 9501

Related Least Common Multiples of 9506

Frequently Asked Questions on LCM of 9501 and 9506

1. What is the LCM of 9501 and 9506?

Answer: LCM of 9501 and 9506 is 90316506.

2. What are the Factors of 9501?

Answer: Factors of 9501 are 1, 3, 3167, 9501. There are 4 integers that are factors of 9501. The greatest factor of 9501 is 9501.

3. 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.

4. How to Find the LCM of 9501 and 9506?

Answer:

Least Common Multiple of 9501 and 9506 = 90316506

Step 1: Find the prime factorization of 9501

9501 = 3 x 3167

Step 2: Find the prime factorization of 9506

9506 = 2 x 7 x 7 x 97

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

LCM = 90316506 = 2 x 3 x 7 x 7 x 97 x 3167

Step 4: Therefore, the least common multiple of 9501 and 9506 is 90316506.