Least Common Multiple of 8982 and 8986

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 8986 the smallest integer that is 40356126 that is divisible by both numbers.

Least Common Multiple (LCM) of 8982 and 8986 is 40356126.

LCM(8982,8986) = 40356126

LCM of 8982 and 8986

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

LCM of:
and

Least Common Multiple of 8982 and 8986

LCM of 8982 and 8986 is 40356126

Least common multiple can be found by multiplying the highest exponent prime factors of 8982 and 8986. First we will calculate the prime factors of 8982 and 8986.

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 8986


2 8986
4493 4493
1

Prime factors of 8986 are 2,4493. Prime factorization of 8986 in exponential form is:

8986 = 21×44931

Now multiplying the highest exponent prime factors to calculate the LCM of 8982 and 8986.

LCM(8982,8986) = 21×32×4991×44931
LCM(8982,8986) = 40356126

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 8986

List of positive integer factors of 8986 that divides 8986 without a remainder.

1, 2, 4493, 8986

Least Common Multiple of 8982 and 8986 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 8986, than apply into the LCM equation.

GCF(8982,8986) = 2
LCM(8982,8986) = ( 8982 × 8986) / 2
LCM(8982,8986) = 80712252 / 2
LCM(8982,8986) = 40356126

Properties of LCM 8982 and 8986

(i) The LCM of 8986 and 8982 is associative

LCM of 8982 and 8986 = LCM of 8986 and 8982

Related Least Common Multiples of 8982

Related Least Common Multiples of 8986

Frequently Asked Questions on LCM of 8982 and 8986

1. What is the LCM of 8982 and 8986?

Answer: LCM of 8982 and 8986 is 40356126.

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 8986?

Answer: Factors of 8986 are 1, 2, 4493, 8986. There are 4 integers that are factors of 8986. The greatest factor of 8986 is 8986.

4. How to Find the LCM of 8982 and 8986?

Answer:

Least Common Multiple of 8982 and 8986 = 40356126

Step 1: Find the prime factorization of 8982

8982 = 2 x 3 x 3 x 499

Step 2: Find the prime factorization of 8986

8986 = 2 x 4493

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

LCM = 40356126 = 2 x 3 x 3 x 499 x 4493

Step 4: Therefore, the least common multiple of 8982 and 8986 is 40356126.