Least Common Multiple of 9506 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 9506 and 9510 the smallest integer that is 45201030 that is divisible by both numbers.

Least Common Multiple (LCM) of 9506 and 9510 is 45201030.

LCM(9506,9510) = 45201030

LCM of 9506 and 9510

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

LCM of:
and

Least Common Multiple of 9506 and 9510

LCM of 9506 and 9510 is 45201030

Least common multiple can be found by multiplying the highest exponent prime factors of 9506 and 9510. First we will calculate the prime factors of 9506 and 9510.

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 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 9506 and 9510.

LCM(9506,9510) = 21×31×51×72×971×3171
LCM(9506,9510) = 45201030

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 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 9506 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 9506 and 9510, than apply into the LCM equation.

GCF(9506,9510) = 2
LCM(9506,9510) = ( 9506 × 9510) / 2
LCM(9506,9510) = 90402060 / 2
LCM(9506,9510) = 45201030

Properties of LCM 9506 and 9510

(i) The LCM of 9510 and 9506 is associative

LCM of 9506 and 9510 = LCM of 9510 and 9506

Related Least Common Multiples of 9506

Related Least Common Multiples of 9510

Frequently Asked Questions on LCM of 9506 and 9510

1. What is the LCM of 9506 and 9510?

Answer: LCM of 9506 and 9510 is 45201030.

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 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 9506 and 9510?

Answer:

Least Common Multiple of 9506 and 9510 = 45201030

Step 1: Find the prime factorization of 9506

9506 = 2 x 7 x 7 x 97

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 = 45201030 = 2 x 3 x 5 x 7 x 7 x 97 x 317

Step 4: Therefore, the least common multiple of 9506 and 9510 is 45201030.