Least Common Multiple of 8976 and 8982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8976 and 8982 the smallest integer that is 13437072 that is divisible by both numbers.

Least Common Multiple (LCM) of 8976 and 8982 is 13437072.

LCM(8976,8982) = 13437072

LCM of 8976 and 8982

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

LCM of:
and

Least Common Multiple of 8976 and 8982

LCM of 8976 and 8982 is 13437072

Least common multiple can be found by multiplying the highest exponent prime factors of 8976 and 8982. First we will calculate the prime factors of 8976 and 8982.

Prime Factorization of 8976


2 8976
2 4488
2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 8976 are 2, 3, 11,17. Prime factorization of 8976 in exponential form is:

8976 = 24×31×111×171

Prime Factorization of 8982


2 8982
3 4491
3 1497
499 499
1

Prime factors of 8982 are 2, 3,499. Prime factorization of 8982 in exponential form is:

8982 = 21×32×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 8976 and 8982.

LCM(8976,8982) = 24×32×111×171×4991
LCM(8976,8982) = 13437072

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976

Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982

Least Common Multiple of 8976 and 8982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8976 and 8982, than apply into the LCM equation.

GCF(8976,8982) = 6
LCM(8976,8982) = ( 8976 × 8982) / 6
LCM(8976,8982) = 80622432 / 6
LCM(8976,8982) = 13437072

Properties of LCM 8976 and 8982

(i) The LCM of 8982 and 8976 is associative

LCM of 8976 and 8982 = LCM of 8982 and 8976

Related Least Common Multiples of 8976

Related Least Common Multiples of 8982

Frequently Asked Questions on LCM of 8976 and 8982

1. What is the LCM of 8976 and 8982?

Answer: LCM of 8976 and 8982 is 13437072.

2. What are the Factors of 8976?

Answer: Factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976. There are 40 integers that are factors of 8976. The greatest factor of 8976 is 8976.

3. What are the Factors of 8982?

Answer: Factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982. There are 12 integers that are factors of 8982. The greatest factor of 8982 is 8982.

4. How to Find the LCM of 8976 and 8982?

Answer:

Least Common Multiple of 8976 and 8982 = 13437072

Step 1: Find the prime factorization of 8976

8976 = 2 x 2 x 2 x 2 x 3 x 11 x 17

Step 2: Find the prime factorization of 8982

8982 = 2 x 3 x 3 x 499

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

LCM = 13437072 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 499

Step 4: Therefore, the least common multiple of 8976 and 8982 is 13437072.