Least Common Multiple of 5893 and 5899
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5893 and 5899 the smallest integer that is 34762807 that is divisible by both numbers.
Least Common Multiple (LCM) of 5893 and 5899 is 34762807.
LCM(5893,5899) = 34762807
LCM of 5893 and 5899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5893 and 5899 by Prime method
- Least Common Multiple of 5893 and 5899 with GCF Formula
LCM of 5893 and 5899 is 34762807
Least common multiple can be found by multiplying the highest exponent prime factors of 5893 and 5899. First we will calculate the prime factors of 5893 and 5899.
Prime Factorization of 5893
| 71 | 5893 |
| 83 | 83 |
| 1 |
Prime factors of 5893 are 71,83. Prime factorization of 5893 in exponential form is:
5893 = 711×831
Prime Factorization of 5899
| 17 | 5899 |
| 347 | 347 |
| 1 |
Prime factors of 5899 are 17,347. Prime factorization of 5899 in exponential form is:
5899 = 171×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 5893 and 5899.
LCM(5893,5899) = 171×711×831×3471
LCM(5893,5899) = 34762807
Factors of 5893
List of positive integer factors of 5893 that divides 5893 without a remainder.
1, 71, 83, 5893
Factors of 5899
List of positive integer factors of 5899 that divides 5899 without a remainder.
1, 17, 347, 5899
Least Common Multiple of 5893 and 5899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5893 and 5899, than apply into the LCM equation.
GCF(5893,5899) = 1
LCM(5893,5899) = ( 5893 × 5899) / 1
LCM(5893,5899) = 34762807 / 1
LCM(5893,5899) = 34762807
Properties of LCM 5893 and 5899
(i) The LCM of 5899 and 5893 is associative
LCM of 5893 and 5899 = LCM of 5899 and 5893
Related Least Common Multiples of 5893
Related Least Common Multiples of 5899
Frequently Asked Questions on LCM of 5893 and 5899
1. What is the LCM of 5893 and 5899?
Answer: LCM of 5893 and 5899 is 34762807.
2. What are the Factors of 5893?
Answer: Factors of 5893 are 1, 71, 83, 5893. There are 4 integers that are factors of 5893. The greatest factor of 5893 is 5893.
3. What are the Factors of 5899?
Answer: Factors of 5899 are 1, 17, 347, 5899. There are 4 integers that are factors of 5899. The greatest factor of 5899 is 5899.
4. How to Find the LCM of 5893 and 5899?
Answer:
Least Common Multiple of 5893 and 5899 = 34762807
Step 1: Find the prime factorization of 5893
5893 = 71 x 83
Step 2: Find the prime factorization of 5899
5899 = 17 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34762807 = 17 x 71 x 83 x 347
Step 4: Therefore, the least common multiple of 5893 and 5899 is 34762807.