Least Common Multiple of 8983 and 8988
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8983 and 8988 the smallest integer that is 80739204 that is divisible by both numbers.
Least Common Multiple (LCM) of 8983 and 8988 is 80739204.
LCM(8983,8988) = 80739204
LCM of 8983 and 8988
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8983 and 8988 by Prime method
- Least Common Multiple of 8983 and 8988 with GCF Formula
LCM of 8983 and 8988 is 80739204
Least common multiple can be found by multiplying the highest exponent prime factors of 8983 and 8988. First we will calculate the prime factors of 8983 and 8988.
Prime Factorization of 8983
| 13 | 8983 |
| 691 | 691 |
| 1 |
Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:
8983 = 131×6911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8983 and 8988.
LCM(8983,8988) = 22×31×71×131×1071×6911
LCM(8983,8988) = 80739204
Factors of 8983
List of positive integer factors of 8983 that divides 8983 without a remainder.
1, 13, 691, 8983
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
Least Common Multiple of 8983 and 8988 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8983 and 8988, than apply into the LCM equation.
GCF(8983,8988) = 1
LCM(8983,8988) = ( 8983 × 8988) / 1
LCM(8983,8988) = 80739204 / 1
LCM(8983,8988) = 80739204
Properties of LCM 8983 and 8988
(i) The LCM of 8988 and 8983 is associative
LCM of 8983 and 8988 = LCM of 8988 and 8983
Related Least Common Multiples of 8983
Related Least Common Multiples of 8988
Frequently Asked Questions on LCM of 8983 and 8988
1. What is the LCM of 8983 and 8988?
Answer: LCM of 8983 and 8988 is 80739204.
2. What are the Factors of 8983?
Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.
3. 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.
4. How to Find the LCM of 8983 and 8988?
Answer:
Least Common Multiple of 8983 and 8988 = 80739204
Step 1: Find the prime factorization of 8983
8983 = 13 x 691
Step 2: Find the prime factorization of 8988
8988 = 2 x 2 x 3 x 7 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80739204 = 2 x 2 x 3 x 7 x 13 x 107 x 691
Step 4: Therefore, the least common multiple of 8983 and 8988 is 80739204.