Least Common Multiple of 5854 and 5859
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5854 and 5859 the smallest integer that is 34298586 that is divisible by both numbers.
Least Common Multiple (LCM) of 5854 and 5859 is 34298586.
LCM(5854,5859) = 34298586
LCM of 5854 and 5859
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5854 and 5859 by Prime method
- Least Common Multiple of 5854 and 5859 with GCF Formula
LCM of 5854 and 5859 is 34298586
Least common multiple can be found by multiplying the highest exponent prime factors of 5854 and 5859. First we will calculate the prime factors of 5854 and 5859.
Prime Factorization of 5854
| 2 | 5854 |
| 2927 | 2927 |
| 1 |
Prime factors of 5854 are 2,2927. Prime factorization of 5854 in exponential form is:
5854 = 21×29271
Prime Factorization of 5859
| 3 | 5859 |
| 3 | 1953 |
| 3 | 651 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 5859 are 3, 7,31. Prime factorization of 5859 in exponential form is:
5859 = 33×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 5854 and 5859.
LCM(5854,5859) = 21×33×71×311×29271
LCM(5854,5859) = 34298586
Factors of 5854
List of positive integer factors of 5854 that divides 5854 without a remainder.
1, 2, 2927, 5854
Factors of 5859
List of positive integer factors of 5859 that divides 5859 without a remainder.
1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859
Least Common Multiple of 5854 and 5859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5854 and 5859, than apply into the LCM equation.
GCF(5854,5859) = 1
LCM(5854,5859) = ( 5854 × 5859) / 1
LCM(5854,5859) = 34298586 / 1
LCM(5854,5859) = 34298586
Properties of LCM 5854 and 5859
(i) The LCM of 5859 and 5854 is associative
LCM of 5854 and 5859 = LCM of 5859 and 5854
Related Least Common Multiples of 5854
Related Least Common Multiples of 5859
Frequently Asked Questions on LCM of 5854 and 5859
1. What is the LCM of 5854 and 5859?
Answer: LCM of 5854 and 5859 is 34298586.
2. What are the Factors of 5854?
Answer: Factors of 5854 are 1, 2, 2927, 5854. There are 4 integers that are factors of 5854. The greatest factor of 5854 is 5854.
3. What are the Factors of 5859?
Answer: Factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859. There are 16 integers that are factors of 5859. The greatest factor of 5859 is 5859.
4. How to Find the LCM of 5854 and 5859?
Answer:
Least Common Multiple of 5854 and 5859 = 34298586
Step 1: Find the prime factorization of 5854
5854 = 2 x 2927
Step 2: Find the prime factorization of 5859
5859 = 3 x 3 x 3 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34298586 = 2 x 3 x 3 x 3 x 7 x 31 x 2927
Step 4: Therefore, the least common multiple of 5854 and 5859 is 34298586.