Least Common Multiple of 8976 and 8981

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 8981 the smallest integer that is 80613456 that is divisible by both numbers.

Least Common Multiple (LCM) of 8976 and 8981 is 80613456.

LCM(8976,8981) = 80613456

LCM of 8976 and 8981

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

LCM of:
and

Least Common Multiple of 8976 and 8981

LCM of 8976 and 8981 is 80613456

Least common multiple can be found by multiplying the highest exponent prime factors of 8976 and 8981. First we will calculate the prime factors of 8976 and 8981.

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 8981


7 8981
1283 1283
1

Prime factors of 8981 are 7,1283. Prime factorization of 8981 in exponential form is:

8981 = 71×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 8976 and 8981.

LCM(8976,8981) = 24×31×71×111×171×12831
LCM(8976,8981) = 80613456

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 8981

List of positive integer factors of 8981 that divides 8981 without a remainder.

1, 7, 1283, 8981

Least Common Multiple of 8976 and 8981 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 8981, than apply into the LCM equation.

GCF(8976,8981) = 1
LCM(8976,8981) = ( 8976 × 8981) / 1
LCM(8976,8981) = 80613456 / 1
LCM(8976,8981) = 80613456

Properties of LCM 8976 and 8981

(i) The LCM of 8981 and 8976 is associative

LCM of 8976 and 8981 = LCM of 8981 and 8976

Related Least Common Multiples of 8976

Related Least Common Multiples of 8981

Frequently Asked Questions on LCM of 8976 and 8981

1. What is the LCM of 8976 and 8981?

Answer: LCM of 8976 and 8981 is 80613456.

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 8981?

Answer: Factors of 8981 are 1, 7, 1283, 8981. There are 4 integers that are factors of 8981. The greatest factor of 8981 is 8981.

4. How to Find the LCM of 8976 and 8981?

Answer:

Least Common Multiple of 8976 and 8981 = 80613456

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 8981

8981 = 7 x 1283

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

LCM = 80613456 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 17 x 1283

Step 4: Therefore, the least common multiple of 8976 and 8981 is 80613456.