Least Common Multiple of 8988 and 8994

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 8994 the smallest integer that is 13473012 that is divisible by both numbers.

Least Common Multiple (LCM) of 8988 and 8994 is 13473012.

LCM(8988,8994) = 13473012

LCM of 8988 and 8994

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

LCM of:
and

Least Common Multiple of 8988 and 8994

LCM of 8988 and 8994 is 13473012

Least common multiple can be found by multiplying the highest exponent prime factors of 8988 and 8994. First we will calculate the prime factors of 8988 and 8994.

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 8994


2 8994
3 4497
1499 1499
1

Prime factors of 8994 are 2, 3,1499. Prime factorization of 8994 in exponential form is:

8994 = 21×31×14991

Now multiplying the highest exponent prime factors to calculate the LCM of 8988 and 8994.

LCM(8988,8994) = 22×31×71×1071×14991
LCM(8988,8994) = 13473012

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 8994

List of positive integer factors of 8994 that divides 8994 without a remainder.

1, 2, 3, 6, 1499, 2998, 4497, 8994

Least Common Multiple of 8988 and 8994 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 8994, than apply into the LCM equation.

GCF(8988,8994) = 6
LCM(8988,8994) = ( 8988 × 8994) / 6
LCM(8988,8994) = 80838072 / 6
LCM(8988,8994) = 13473012

Properties of LCM 8988 and 8994

(i) The LCM of 8994 and 8988 is associative

LCM of 8988 and 8994 = LCM of 8994 and 8988

Related Least Common Multiples of 8988

Related Least Common Multiples of 8994

Frequently Asked Questions on LCM of 8988 and 8994

1. What is the LCM of 8988 and 8994?

Answer: LCM of 8988 and 8994 is 13473012.

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 8994?

Answer: Factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994. There are 8 integers that are factors of 8994. The greatest factor of 8994 is 8994.

4. How to Find the LCM of 8988 and 8994?

Answer:

Least Common Multiple of 8988 and 8994 = 13473012

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 8994

8994 = 2 x 3 x 1499

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

LCM = 13473012 = 2 x 2 x 3 x 7 x 107 x 1499

Step 4: Therefore, the least common multiple of 8988 and 8994 is 13473012.