Least Common Multiple of 9506 and 9512

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 9512 the smallest integer that is 45210536 that is divisible by both numbers.

Least Common Multiple (LCM) of 9506 and 9512 is 45210536.

LCM(9506,9512) = 45210536

LCM of 9506 and 9512

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

LCM of:
and

Least Common Multiple of 9506 and 9512

LCM of 9506 and 9512 is 45210536

Least common multiple can be found by multiplying the highest exponent prime factors of 9506 and 9512. First we will calculate the prime factors of 9506 and 9512.

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 9512


2 9512
2 4756
2 2378
29 1189
41 41
1

Prime factors of 9512 are 2, 29,41. Prime factorization of 9512 in exponential form is:

9512 = 23×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9506 and 9512.

LCM(9506,9512) = 23×72×291×411×971
LCM(9506,9512) = 45210536

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 9512

List of positive integer factors of 9512 that divides 9512 without a remainder.

1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512

Least Common Multiple of 9506 and 9512 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 9512, than apply into the LCM equation.

GCF(9506,9512) = 2
LCM(9506,9512) = ( 9506 × 9512) / 2
LCM(9506,9512) = 90421072 / 2
LCM(9506,9512) = 45210536

Properties of LCM 9506 and 9512

(i) The LCM of 9512 and 9506 is associative

LCM of 9506 and 9512 = LCM of 9512 and 9506

Related Least Common Multiples of 9506

Related Least Common Multiples of 9512

Frequently Asked Questions on LCM of 9506 and 9512

1. What is the LCM of 9506 and 9512?

Answer: LCM of 9506 and 9512 is 45210536.

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 9512?

Answer: Factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512. There are 16 integers that are factors of 9512. The greatest factor of 9512 is 9512.

4. How to Find the LCM of 9506 and 9512?

Answer:

Least Common Multiple of 9506 and 9512 = 45210536

Step 1: Find the prime factorization of 9506

9506 = 2 x 7 x 7 x 97

Step 2: Find the prime factorization of 9512

9512 = 2 x 2 x 2 x 29 x 41

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

LCM = 45210536 = 2 x 2 x 2 x 7 x 7 x 29 x 41 x 97

Step 4: Therefore, the least common multiple of 9506 and 9512 is 45210536.