Least Common Multiple of 5980 and 5987
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 5987 the smallest integer that is 35802260 that is divisible by both numbers.
Least Common Multiple (LCM) of 5980 and 5987 is 35802260.
LCM(5980,5987) = 35802260
LCM of 5980 and 5987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5980 and 5987 by Prime method
- Least Common Multiple of 5980 and 5987 with GCF Formula
LCM of 5980 and 5987 is 35802260
Least common multiple can be found by multiplying the highest exponent prime factors of 5980 and 5987. First we will calculate the prime factors of 5980 and 5987.
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 5987
| 5987 | 5987 |
| 1 |
Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:
5987 = 59871
Now multiplying the highest exponent prime factors to calculate the LCM of 5980 and 5987.
LCM(5980,5987) = 22×51×131×231×59871
LCM(5980,5987) = 35802260
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 5987
List of positive integer factors of 5987 that divides 5987 without a remainder.
1, 5987
Least Common Multiple of 5980 and 5987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5980 and 5987, than apply into the LCM equation.
GCF(5980,5987) = 1
LCM(5980,5987) = ( 5980 × 5987) / 1
LCM(5980,5987) = 35802260 / 1
LCM(5980,5987) = 35802260
Properties of LCM 5980 and 5987
(i) The LCM of 5987 and 5980 is associative
LCM of 5980 and 5987 = LCM of 5987 and 5980
Related Least Common Multiples of 5980
Related Least Common Multiples of 5987
Frequently Asked Questions on LCM of 5980 and 5987
1. What is the LCM of 5980 and 5987?
Answer: LCM of 5980 and 5987 is 35802260.
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 5987?
Answer: Factors of 5987 are 1, 5987. There are 2 integers that are factors of 5987. The greatest factor of 5987 is 5987.
4. How to Find the LCM of 5980 and 5987?
Answer:
Least Common Multiple of 5980 and 5987 = 35802260
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 5987
5987 = 5987
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35802260 = 2 x 2 x 5 x 13 x 23 x 5987
Step 4: Therefore, the least common multiple of 5980 and 5987 is 35802260.