Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5980 and 5986 the smallest integer that is 17898140 that is divisible by both numbers.
Least Common Multiple (LCM) of 5980 and 5986 is 17898140.
LCM(5980,5986) = 17898140
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5980 and 5986. First we will calculate the prime factors of 5980 and 5986.
Prime Factorization of 5980
2 | 5980 |
2 | 2990 |
5 | 1495 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 5980 are 2, 5, 13,23. Prime factorization of 5980 in exponential form is:
5980 = 22×51×131×231
Prime Factorization of 5986
2 | 5986 |
41 | 2993 |
73 | 73 |
1 |
Prime factors of 5986 are 2, 41,73. Prime factorization of 5986 in exponential form is:
5986 = 21×411×731
Now multiplying the highest exponent prime factors to calculate the LCM of 5980 and 5986.
LCM(5980,5986) = 22×51×131×231×411×731
LCM(5980,5986) = 17898140
Factors of 5980
List of positive integer factors of 5980 that divides 5980 without a remainder.
1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
Factors of 5986
List of positive integer factors of 5986 that divides 5986 without a remainder.
1, 2, 41, 73, 82, 146, 2993, 5986
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5980 and 5986, than apply into the LCM equation.
GCF(5980,5986) = 2
LCM(5980,5986) = ( 5980 × 5986) / 2
LCM(5980,5986) = 35796280 / 2
LCM(5980,5986) = 17898140
(i) The LCM of 5986 and 5980 is associative
LCM of 5980 and 5986 = LCM of 5986 and 5980
1. What is the LCM of 5980 and 5986?
Answer: LCM of 5980 and 5986 is 17898140.
2. What are the Factors of 5980?
Answer: Factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980. There are 24 integers that are factors of 5980. The greatest factor of 5980 is 5980.
3. What are the Factors of 5986?
Answer: Factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986. There are 8 integers that are factors of 5986. The greatest factor of 5986 is 5986.
4. How to Find the LCM of 5980 and 5986?
Answer:
Least Common Multiple of 5980 and 5986 = 17898140
Step 1: Find the prime factorization of 5980
5980 = 2 x 2 x 5 x 13 x 23
Step 2: Find the prime factorization of 5986
5986 = 2 x 41 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17898140 = 2 x 2 x 5 x 13 x 23 x 41 x 73
Step 4: Therefore, the least common multiple of 5980 and 5986 is 17898140.