Least Common Multiple of 5883 and 5887
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5883 and 5887 the smallest integer that is 34633221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5883 and 5887 is 34633221.
LCM(5883,5887) = 34633221
LCM of 5883 and 5887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5883 and 5887 by Prime method
- Least Common Multiple of 5883 and 5887 with GCF Formula
LCM of 5883 and 5887 is 34633221
Least common multiple can be found by multiplying the highest exponent prime factors of 5883 and 5887. First we will calculate the prime factors of 5883 and 5887.
Prime Factorization of 5883
| 3 | 5883 |
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 5883 are 3, 37,53. Prime factorization of 5883 in exponential form is:
5883 = 31×371×531
Prime Factorization of 5887
| 7 | 5887 |
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 5887 are 7,29. Prime factorization of 5887 in exponential form is:
5887 = 71×292
Now multiplying the highest exponent prime factors to calculate the LCM of 5883 and 5887.
LCM(5883,5887) = 31×71×292×371×531
LCM(5883,5887) = 34633221
Factors of 5883
List of positive integer factors of 5883 that divides 5883 without a remainder.
1, 3, 37, 53, 111, 159, 1961, 5883
Factors of 5887
List of positive integer factors of 5887 that divides 5887 without a remainder.
1, 7, 29, 203, 841, 5887
Least Common Multiple of 5883 and 5887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5883 and 5887, than apply into the LCM equation.
GCF(5883,5887) = 1
LCM(5883,5887) = ( 5883 × 5887) / 1
LCM(5883,5887) = 34633221 / 1
LCM(5883,5887) = 34633221
Properties of LCM 5883 and 5887
(i) The LCM of 5887 and 5883 is associative
LCM of 5883 and 5887 = LCM of 5887 and 5883
Related Least Common Multiples of 5883
Related Least Common Multiples of 5887
Frequently Asked Questions on LCM of 5883 and 5887
1. What is the LCM of 5883 and 5887?
Answer: LCM of 5883 and 5887 is 34633221.
2. What are the Factors of 5883?
Answer: Factors of 5883 are 1, 3, 37, 53, 111, 159, 1961, 5883. There are 8 integers that are factors of 5883. The greatest factor of 5883 is 5883.
3. What are the Factors of 5887?
Answer: Factors of 5887 are 1, 7, 29, 203, 841, 5887. There are 6 integers that are factors of 5887. The greatest factor of 5887 is 5887.
4. How to Find the LCM of 5883 and 5887?
Answer:
Least Common Multiple of 5883 and 5887 = 34633221
Step 1: Find the prime factorization of 5883
5883 = 3 x 37 x 53
Step 2: Find the prime factorization of 5887
5887 = 7 x 29 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34633221 = 3 x 7 x 29 x 29 x 37 x 53
Step 4: Therefore, the least common multiple of 5883 and 5887 is 34633221.