Least Common Multiple of 8982 and 8988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8982 and 8988 the smallest integer that is 13455036 that is divisible by both numbers.

Least Common Multiple (LCM) of 8982 and 8988 is 13455036.

LCM(8982,8988) = 13455036

LCM of 8982 and 8988

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

LCM of:
and

Least Common Multiple of 8982 and 8988

LCM of 8982 and 8988 is 13455036

Least common multiple can be found by multiplying the highest exponent prime factors of 8982 and 8988. First we will calculate the prime factors of 8982 and 8988.

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

Prime Factorization of 8988


2 8988
2 4494
3 2247
7 749
107 107
1

Prime factors of 8988 are 2, 3, 7,107. Prime factorization of 8988 in exponential form is:

8988 = 22×31×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8982 and 8988.

LCM(8982,8988) = 22×32×71×1071×4991
LCM(8982,8988) = 13455036

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

Factors of 8988

List of positive integer factors of 8988 that divides 8988 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988

Least Common Multiple of 8982 and 8988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8982 and 8988, than apply into the LCM equation.

GCF(8982,8988) = 6
LCM(8982,8988) = ( 8982 × 8988) / 6
LCM(8982,8988) = 80730216 / 6
LCM(8982,8988) = 13455036

Properties of LCM 8982 and 8988

(i) The LCM of 8988 and 8982 is associative

LCM of 8982 and 8988 = LCM of 8988 and 8982

Related Least Common Multiples of 8982

Related Least Common Multiples of 8988

Frequently Asked Questions on LCM of 8982 and 8988

1. What is the LCM of 8982 and 8988?

Answer: LCM of 8982 and 8988 is 13455036.

2. 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.

3. What are the Factors of 8988?

Answer: Factors of 8988 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988. There are 24 integers that are factors of 8988. The greatest factor of 8988 is 8988.

4. How to Find the LCM of 8982 and 8988?

Answer:

Least Common Multiple of 8982 and 8988 = 13455036

Step 1: Find the prime factorization of 8982

8982 = 2 x 3 x 3 x 499

Step 2: Find the prime factorization of 8988

8988 = 2 x 2 x 3 x 7 x 107

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

LCM = 13455036 = 2 x 2 x 3 x 3 x 7 x 107 x 499

Step 4: Therefore, the least common multiple of 8982 and 8988 is 13455036.