Least Common Multiple of 5855 and 5863
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5855 and 5863 the smallest integer that is 34327865 that is divisible by both numbers.
Least Common Multiple (LCM) of 5855 and 5863 is 34327865.
LCM(5855,5863) = 34327865
LCM of 5855 and 5863
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5855 and 5863 by Prime method
- Least Common Multiple of 5855 and 5863 with GCF Formula
LCM of 5855 and 5863 is 34327865
Least common multiple can be found by multiplying the highest exponent prime factors of 5855 and 5863. First we will calculate the prime factors of 5855 and 5863.
Prime Factorization of 5855
| 5 | 5855 |
| 1171 | 1171 |
| 1 |
Prime factors of 5855 are 5,1171. Prime factorization of 5855 in exponential form is:
5855 = 51×11711
Prime Factorization of 5863
| 11 | 5863 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 5863 are 11, 13,41. Prime factorization of 5863 in exponential form is:
5863 = 111×131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5855 and 5863.
LCM(5855,5863) = 51×111×131×411×11711
LCM(5855,5863) = 34327865
Factors of 5855
List of positive integer factors of 5855 that divides 5855 without a remainder.
1, 5, 1171, 5855
Factors of 5863
List of positive integer factors of 5863 that divides 5863 without a remainder.
1, 11, 13, 41, 143, 451, 533, 5863
Least Common Multiple of 5855 and 5863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5855 and 5863, than apply into the LCM equation.
GCF(5855,5863) = 1
LCM(5855,5863) = ( 5855 × 5863) / 1
LCM(5855,5863) = 34327865 / 1
LCM(5855,5863) = 34327865
Properties of LCM 5855 and 5863
(i) The LCM of 5863 and 5855 is associative
LCM of 5855 and 5863 = LCM of 5863 and 5855
Related Least Common Multiples of 5855
Related Least Common Multiples of 5863
Frequently Asked Questions on LCM of 5855 and 5863
1. What is the LCM of 5855 and 5863?
Answer: LCM of 5855 and 5863 is 34327865.
2. What are the Factors of 5855?
Answer: Factors of 5855 are 1, 5, 1171, 5855. There are 4 integers that are factors of 5855. The greatest factor of 5855 is 5855.
3. What are the Factors of 5863?
Answer: Factors of 5863 are 1, 11, 13, 41, 143, 451, 533, 5863. There are 8 integers that are factors of 5863. The greatest factor of 5863 is 5863.
4. How to Find the LCM of 5855 and 5863?
Answer:
Least Common Multiple of 5855 and 5863 = 34327865
Step 1: Find the prime factorization of 5855
5855 = 5 x 1171
Step 2: Find the prime factorization of 5863
5863 = 11 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34327865 = 5 x 11 x 13 x 41 x 1171
Step 4: Therefore, the least common multiple of 5855 and 5863 is 34327865.