Least Common Multiple of 5983 and 5989
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5983 and 5989 the smallest integer that is 35832187 that is divisible by both numbers.
Least Common Multiple (LCM) of 5983 and 5989 is 35832187.
LCM(5983,5989) = 35832187
LCM of 5983 and 5989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5983 and 5989 by Prime method
- Least Common Multiple of 5983 and 5989 with GCF Formula
LCM of 5983 and 5989 is 35832187
Least common multiple can be found by multiplying the highest exponent prime factors of 5983 and 5989. First we will calculate the prime factors of 5983 and 5989.
Prime Factorization of 5983
| 31 | 5983 |
| 193 | 193 |
| 1 |
Prime factors of 5983 are 31,193. Prime factorization of 5983 in exponential form is:
5983 = 311×1931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5983 and 5989.
LCM(5983,5989) = 311×531×1131×1931
LCM(5983,5989) = 35832187
Factors of 5983
List of positive integer factors of 5983 that divides 5983 without a remainder.
1, 31, 193, 5983
Factors of 5989
List of positive integer factors of 5989 that divides 5989 without a remainder.
1, 53, 113, 5989
Least Common Multiple of 5983 and 5989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5983 and 5989, than apply into the LCM equation.
GCF(5983,5989) = 1
LCM(5983,5989) = ( 5983 × 5989) / 1
LCM(5983,5989) = 35832187 / 1
LCM(5983,5989) = 35832187
Properties of LCM 5983 and 5989
(i) The LCM of 5989 and 5983 is associative
LCM of 5983 and 5989 = LCM of 5989 and 5983
Related Least Common Multiples of 5983
Related Least Common Multiples of 5989
Frequently Asked Questions on LCM of 5983 and 5989
1. What is the LCM of 5983 and 5989?
Answer: LCM of 5983 and 5989 is 35832187.
2. What are the Factors of 5983?
Answer: Factors of 5983 are 1, 31, 193, 5983. There are 4 integers that are factors of 5983. The greatest factor of 5983 is 5983.
3. 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.
4. How to Find the LCM of 5983 and 5989?
Answer:
Least Common Multiple of 5983 and 5989 = 35832187
Step 1: Find the prime factorization of 5983
5983 = 31 x 193
Step 2: Find the prime factorization of 5989
5989 = 53 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35832187 = 31 x 53 x 113 x 193
Step 4: Therefore, the least common multiple of 5983 and 5989 is 35832187.