Least Common Multiple of 8976 and 8983

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 8983 the smallest integer that is 80631408 that is divisible by both numbers.

Least Common Multiple (LCM) of 8976 and 8983 is 80631408.

LCM(8976,8983) = 80631408

LCM of 8976 and 8983

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

LCM of:
and

Least Common Multiple of 8976 and 8983

LCM of 8976 and 8983 is 80631408

Least common multiple can be found by multiplying the highest exponent prime factors of 8976 and 8983. First we will calculate the prime factors of 8976 and 8983.

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 8983


13 8983
691 691
1

Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:

8983 = 131×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 8976 and 8983.

LCM(8976,8983) = 24×31×111×131×171×6911
LCM(8976,8983) = 80631408

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 8983

List of positive integer factors of 8983 that divides 8983 without a remainder.

1, 13, 691, 8983

Least Common Multiple of 8976 and 8983 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 8983, than apply into the LCM equation.

GCF(8976,8983) = 1
LCM(8976,8983) = ( 8976 × 8983) / 1
LCM(8976,8983) = 80631408 / 1
LCM(8976,8983) = 80631408

Properties of LCM 8976 and 8983

(i) The LCM of 8983 and 8976 is associative

LCM of 8976 and 8983 = LCM of 8983 and 8976

Related Least Common Multiples of 8976

Related Least Common Multiples of 8983

Frequently Asked Questions on LCM of 8976 and 8983

1. What is the LCM of 8976 and 8983?

Answer: LCM of 8976 and 8983 is 80631408.

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 8983?

Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.

4. How to Find the LCM of 8976 and 8983?

Answer:

Least Common Multiple of 8976 and 8983 = 80631408

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 8983

8983 = 13 x 691

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

LCM = 80631408 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 17 x 691

Step 4: Therefore, the least common multiple of 8976 and 8983 is 80631408.