Least Common Multiple of 8988 and 8995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8988 and 8995 the smallest integer that is 11549580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8988 and 8995 is 11549580.

LCM(8988,8995) = 11549580

LCM of 8988 and 8995

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

LCM of:
and

Least Common Multiple of 8988 and 8995

LCM of 8988 and 8995 is 11549580

Least common multiple can be found by multiplying the highest exponent prime factors of 8988 and 8995. First we will calculate the prime factors of 8988 and 8995.

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

Prime Factorization of 8995


5 8995
7 1799
257 257
1

Prime factors of 8995 are 5, 7,257. Prime factorization of 8995 in exponential form is:

8995 = 51×71×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 8988 and 8995.

LCM(8988,8995) = 22×31×51×71×1071×2571
LCM(8988,8995) = 11549580

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

Factors of 8995

List of positive integer factors of 8995 that divides 8995 without a remainder.

1, 5, 7, 35, 257, 1285, 1799, 8995

Least Common Multiple of 8988 and 8995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8988 and 8995, than apply into the LCM equation.

GCF(8988,8995) = 7
LCM(8988,8995) = ( 8988 × 8995) / 7
LCM(8988,8995) = 80847060 / 7
LCM(8988,8995) = 11549580

Properties of LCM 8988 and 8995

(i) The LCM of 8995 and 8988 is associative

LCM of 8988 and 8995 = LCM of 8995 and 8988

Related Least Common Multiples of 8988

Related Least Common Multiples of 8995

Frequently Asked Questions on LCM of 8988 and 8995

1. What is the LCM of 8988 and 8995?

Answer: LCM of 8988 and 8995 is 11549580.

2. 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.

3. What are the Factors of 8995?

Answer: Factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995. There are 8 integers that are factors of 8995. The greatest factor of 8995 is 8995.

4. How to Find the LCM of 8988 and 8995?

Answer:

Least Common Multiple of 8988 and 8995 = 11549580

Step 1: Find the prime factorization of 8988

8988 = 2 x 2 x 3 x 7 x 107

Step 2: Find the prime factorization of 8995

8995 = 5 x 7 x 257

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

LCM = 11549580 = 2 x 2 x 3 x 5 x 7 x 107 x 257

Step 4: Therefore, the least common multiple of 8988 and 8995 is 11549580.