Least Common Multiple of 5982 and 5990
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5982 and 5990 the smallest integer that is 17916090 that is divisible by both numbers.
Least Common Multiple (LCM) of 5982 and 5990 is 17916090.
LCM(5982,5990) = 17916090
LCM of 5982 and 5990
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5982 and 5990 by Prime method
- Least Common Multiple of 5982 and 5990 with GCF Formula
LCM of 5982 and 5990 is 17916090
Least common multiple can be found by multiplying the highest exponent prime factors of 5982 and 5990. First we will calculate the prime factors of 5982 and 5990.
Prime Factorization of 5982
| 2 | 5982 |
| 3 | 2991 |
| 997 | 997 |
| 1 |
Prime factors of 5982 are 2, 3,997. Prime factorization of 5982 in exponential form is:
5982 = 21×31×9971
Prime Factorization of 5990
| 2 | 5990 |
| 5 | 2995 |
| 599 | 599 |
| 1 |
Prime factors of 5990 are 2, 5,599. Prime factorization of 5990 in exponential form is:
5990 = 21×51×5991
Now multiplying the highest exponent prime factors to calculate the LCM of 5982 and 5990.
LCM(5982,5990) = 21×31×51×5991×9971
LCM(5982,5990) = 17916090
Factors of 5982
List of positive integer factors of 5982 that divides 5982 without a remainder.
1, 2, 3, 6, 997, 1994, 2991, 5982
Factors of 5990
List of positive integer factors of 5990 that divides 5990 without a remainder.
1, 2, 5, 10, 599, 1198, 2995, 5990
Least Common Multiple of 5982 and 5990 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5982 and 5990, than apply into the LCM equation.
GCF(5982,5990) = 2
LCM(5982,5990) = ( 5982 × 5990) / 2
LCM(5982,5990) = 35832180 / 2
LCM(5982,5990) = 17916090
Properties of LCM 5982 and 5990
(i) The LCM of 5990 and 5982 is associative
LCM of 5982 and 5990 = LCM of 5990 and 5982
Related Least Common Multiples of 5982
Related Least Common Multiples of 5990
Frequently Asked Questions on LCM of 5982 and 5990
1. What is the LCM of 5982 and 5990?
Answer: LCM of 5982 and 5990 is 17916090.
2. What are the Factors of 5982?
Answer: Factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. There are 8 integers that are factors of 5982. The greatest factor of 5982 is 5982.
3. What are the Factors of 5990?
Answer: Factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990. There are 8 integers that are factors of 5990. The greatest factor of 5990 is 5990.
4. How to Find the LCM of 5982 and 5990?
Answer:
Least Common Multiple of 5982 and 5990 = 17916090
Step 1: Find the prime factorization of 5982
5982 = 2 x 3 x 997
Step 2: Find the prime factorization of 5990
5990 = 2 x 5 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17916090 = 2 x 3 x 5 x 599 x 997
Step 4: Therefore, the least common multiple of 5982 and 5990 is 17916090.