Least Common Multiple of 8980 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 8980 and 8986 the smallest integer that is 40347140 that is divisible by both numbers.

Least Common Multiple (LCM) of 8980 and 8986 is 40347140.

LCM(8980,8986) = 40347140

LCM of 8980 and 8986

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

LCM of:
and

Least Common Multiple of 8980 and 8986

LCM of 8980 and 8986 is 40347140

Least common multiple can be found by multiplying the highest exponent prime factors of 8980 and 8986. First we will calculate the prime factors of 8980 and 8986.

Prime Factorization of 8980


2 8980
2 4490
5 2245
449 449
1

Prime factors of 8980 are 2, 5,449. Prime factorization of 8980 in exponential form is:

8980 = 22×51×4491

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 8980 and 8986.

LCM(8980,8986) = 22×51×4491×44931
LCM(8980,8986) = 40347140

Factors of 8980

List of positive integer factors of 8980 that divides 8980 without a remainder.

1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980

Factors of 8986

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

1, 2, 4493, 8986

Least Common Multiple of 8980 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 8980 and 8986, than apply into the LCM equation.

GCF(8980,8986) = 2
LCM(8980,8986) = ( 8980 × 8986) / 2
LCM(8980,8986) = 80694280 / 2
LCM(8980,8986) = 40347140

Properties of LCM 8980 and 8986

(i) The LCM of 8986 and 8980 is associative

LCM of 8980 and 8986 = LCM of 8986 and 8980

Related Least Common Multiples of 8980

Related Least Common Multiples of 8986

Frequently Asked Questions on LCM of 8980 and 8986

1. What is the LCM of 8980 and 8986?

Answer: LCM of 8980 and 8986 is 40347140.

2. What are the Factors of 8980?

Answer: Factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980. There are 12 integers that are factors of 8980. The greatest factor of 8980 is 8980.

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 8980 and 8986?

Answer:

Least Common Multiple of 8980 and 8986 = 40347140

Step 1: Find the prime factorization of 8980

8980 = 2 x 2 x 5 x 449

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 = 40347140 = 2 x 2 x 5 x 449 x 4493

Step 4: Therefore, the least common multiple of 8980 and 8986 is 40347140.