Least Common Multiple of 5990 and 5997
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5990 and 5997 the smallest integer that is 35922030 that is divisible by both numbers.
Least Common Multiple (LCM) of 5990 and 5997 is 35922030.
LCM(5990,5997) = 35922030
LCM of 5990 and 5997
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5990 and 5997 by Prime method
- Least Common Multiple of 5990 and 5997 with GCF Formula
LCM of 5990 and 5997 is 35922030
Least common multiple can be found by multiplying the highest exponent prime factors of 5990 and 5997. First we will calculate the prime factors of 5990 and 5997.
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
Prime Factorization of 5997
| 3 | 5997 |
| 1999 | 1999 |
| 1 |
Prime factors of 5997 are 3,1999. Prime factorization of 5997 in exponential form is:
5997 = 31×19991
Now multiplying the highest exponent prime factors to calculate the LCM of 5990 and 5997.
LCM(5990,5997) = 21×31×51×5991×19991
LCM(5990,5997) = 35922030
Factors of 5990
List of positive integer factors of 5990 that divides 5990 without a remainder.
1, 2, 5, 10, 599, 1198, 2995, 5990
Factors of 5997
List of positive integer factors of 5997 that divides 5997 without a remainder.
1, 3, 1999, 5997
Least Common Multiple of 5990 and 5997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5990 and 5997, than apply into the LCM equation.
GCF(5990,5997) = 1
LCM(5990,5997) = ( 5990 × 5997) / 1
LCM(5990,5997) = 35922030 / 1
LCM(5990,5997) = 35922030
Properties of LCM 5990 and 5997
(i) The LCM of 5997 and 5990 is associative
LCM of 5990 and 5997 = LCM of 5997 and 5990
Related Least Common Multiples of 5990
Related Least Common Multiples of 5997
Frequently Asked Questions on LCM of 5990 and 5997
1. What is the LCM of 5990 and 5997?
Answer: LCM of 5990 and 5997 is 35922030.
2. 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.
3. What are the Factors of 5997?
Answer: Factors of 5997 are 1, 3, 1999, 5997. There are 4 integers that are factors of 5997. The greatest factor of 5997 is 5997.
4. How to Find the LCM of 5990 and 5997?
Answer:
Least Common Multiple of 5990 and 5997 = 35922030
Step 1: Find the prime factorization of 5990
5990 = 2 x 5 x 599
Step 2: Find the prime factorization of 5997
5997 = 3 x 1999
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35922030 = 2 x 3 x 5 x 599 x 1999
Step 4: Therefore, the least common multiple of 5990 and 5997 is 35922030.