Least Common Multiple of 5989 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 5989 and 5997 the smallest integer that is 35916033 that is divisible by both numbers.
Least Common Multiple (LCM) of 5989 and 5997 is 35916033.
LCM(5989,5997) = 35916033
LCM of 5989 and 5997
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5989 and 5997 by Prime method
- Least Common Multiple of 5989 and 5997 with GCF Formula
LCM of 5989 and 5997 is 35916033
Least common multiple can be found by multiplying the highest exponent prime factors of 5989 and 5997. First we will calculate the prime factors of 5989 and 5997.
Prime Factorization of 5989
| 53 | 5989 |
| 113 | 113 |
| 1 |
Prime factors of 5989 are 53,113. Prime factorization of 5989 in exponential form is:
5989 = 531×1131
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 5989 and 5997.
LCM(5989,5997) = 31×531×1131×19991
LCM(5989,5997) = 35916033
Factors of 5989
List of positive integer factors of 5989 that divides 5989 without a remainder.
1, 53, 113, 5989
Factors of 5997
List of positive integer factors of 5997 that divides 5997 without a remainder.
1, 3, 1999, 5997
Least Common Multiple of 5989 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 5989 and 5997, than apply into the LCM equation.
GCF(5989,5997) = 1
LCM(5989,5997) = ( 5989 × 5997) / 1
LCM(5989,5997) = 35916033 / 1
LCM(5989,5997) = 35916033
Properties of LCM 5989 and 5997
(i) The LCM of 5997 and 5989 is associative
LCM of 5989 and 5997 = LCM of 5997 and 5989
Related Least Common Multiples of 5989
Related Least Common Multiples of 5997
Frequently Asked Questions on LCM of 5989 and 5997
1. What is the LCM of 5989 and 5997?
Answer: LCM of 5989 and 5997 is 35916033.
2. What are the Factors of 5989?
Answer: Factors of 5989 are 1, 53, 113, 5989. There are 4 integers that are factors of 5989. The greatest factor of 5989 is 5989.
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 5989 and 5997?
Answer:
Least Common Multiple of 5989 and 5997 = 35916033
Step 1: Find the prime factorization of 5989
5989 = 53 x 113
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 = 35916033 = 3 x 53 x 113 x 1999
Step 4: Therefore, the least common multiple of 5989 and 5997 is 35916033.