Least Common Multiple of 8982 and 8990

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 8990 the smallest integer that is 40374090 that is divisible by both numbers.

Least Common Multiple (LCM) of 8982 and 8990 is 40374090.

LCM(8982,8990) = 40374090

LCM of 8982 and 8990

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

LCM of:
and

Least Common Multiple of 8982 and 8990

LCM of 8982 and 8990 is 40374090

Least common multiple can be found by multiplying the highest exponent prime factors of 8982 and 8990. First we will calculate the prime factors of 8982 and 8990.

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 8990


2 8990
5 4495
29 899
31 31
1

Prime factors of 8990 are 2, 5, 29,31. Prime factorization of 8990 in exponential form is:

8990 = 21×51×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8982 and 8990.

LCM(8982,8990) = 21×32×51×291×311×4991
LCM(8982,8990) = 40374090

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 8990

List of positive integer factors of 8990 that divides 8990 without a remainder.

1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990

Least Common Multiple of 8982 and 8990 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 8990, than apply into the LCM equation.

GCF(8982,8990) = 2
LCM(8982,8990) = ( 8982 × 8990) / 2
LCM(8982,8990) = 80748180 / 2
LCM(8982,8990) = 40374090

Properties of LCM 8982 and 8990

(i) The LCM of 8990 and 8982 is associative

LCM of 8982 and 8990 = LCM of 8990 and 8982

Related Least Common Multiples of 8982

Related Least Common Multiples of 8990

Frequently Asked Questions on LCM of 8982 and 8990

1. What is the LCM of 8982 and 8990?

Answer: LCM of 8982 and 8990 is 40374090.

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 8990?

Answer: Factors of 8990 are 1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990. There are 16 integers that are factors of 8990. The greatest factor of 8990 is 8990.

4. How to Find the LCM of 8982 and 8990?

Answer:

Least Common Multiple of 8982 and 8990 = 40374090

Step 1: Find the prime factorization of 8982

8982 = 2 x 3 x 3 x 499

Step 2: Find the prime factorization of 8990

8990 = 2 x 5 x 29 x 31

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

LCM = 40374090 = 2 x 3 x 3 x 5 x 29 x 31 x 499

Step 4: Therefore, the least common multiple of 8982 and 8990 is 40374090.