Least Common Multiple of 8988 and 8996

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 8996 the smallest integer that is 20214012 that is divisible by both numbers.

Least Common Multiple (LCM) of 8988 and 8996 is 20214012.

LCM(8988,8996) = 20214012

LCM of 8988 and 8996

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

LCM of:
and

Least Common Multiple of 8988 and 8996

LCM of 8988 and 8996 is 20214012

Least common multiple can be found by multiplying the highest exponent prime factors of 8988 and 8996. First we will calculate the prime factors of 8988 and 8996.

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 8996


2 8996
2 4498
13 2249
173 173
1

Prime factors of 8996 are 2, 13,173. Prime factorization of 8996 in exponential form is:

8996 = 22×131×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8988 and 8996.

LCM(8988,8996) = 22×31×71×131×1071×1731
LCM(8988,8996) = 20214012

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 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996

Least Common Multiple of 8988 and 8996 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 8996, than apply into the LCM equation.

GCF(8988,8996) = 4
LCM(8988,8996) = ( 8988 × 8996) / 4
LCM(8988,8996) = 80856048 / 4
LCM(8988,8996) = 20214012

Properties of LCM 8988 and 8996

(i) The LCM of 8996 and 8988 is associative

LCM of 8988 and 8996 = LCM of 8996 and 8988

Related Least Common Multiples of 8988

Related Least Common Multiples of 8996

Frequently Asked Questions on LCM of 8988 and 8996

1. What is the LCM of 8988 and 8996?

Answer: LCM of 8988 and 8996 is 20214012.

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 8996?

Answer: Factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996. There are 12 integers that are factors of 8996. The greatest factor of 8996 is 8996.

4. How to Find the LCM of 8988 and 8996?

Answer:

Least Common Multiple of 8988 and 8996 = 20214012

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 8996

8996 = 2 x 2 x 13 x 173

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

LCM = 20214012 = 2 x 2 x 3 x 7 x 13 x 107 x 173

Step 4: Therefore, the least common multiple of 8988 and 8996 is 20214012.