Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5878 and 5882 the smallest integer that is 17287198 that is divisible by both numbers.
Least Common Multiple (LCM) of 5878 and 5882 is 17287198.
LCM(5878,5882) = 17287198
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5878 and 5882. First we will calculate the prime factors of 5878 and 5882.
Prime Factorization of 5878
2 | 5878 |
2939 | 2939 |
1 |
Prime factors of 5878 are 2,2939. Prime factorization of 5878 in exponential form is:
5878 = 21×29391
Prime Factorization of 5882
2 | 5882 |
17 | 2941 |
173 | 173 |
1 |
Prime factors of 5882 are 2, 17,173. Prime factorization of 5882 in exponential form is:
5882 = 21×171×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 5878 and 5882.
LCM(5878,5882) = 21×171×1731×29391
LCM(5878,5882) = 17287198
Factors of 5878
List of positive integer factors of 5878 that divides 5878 without a remainder.
1, 2, 2939, 5878
Factors of 5882
List of positive integer factors of 5882 that divides 5882 without a remainder.
1, 2, 17, 34, 173, 346, 2941, 5882
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5878 and 5882, than apply into the LCM equation.
GCF(5878,5882) = 2
LCM(5878,5882) = ( 5878 × 5882) / 2
LCM(5878,5882) = 34574396 / 2
LCM(5878,5882) = 17287198
(i) The LCM of 5882 and 5878 is associative
LCM of 5878 and 5882 = LCM of 5882 and 5878
1. What is the LCM of 5878 and 5882?
Answer: LCM of 5878 and 5882 is 17287198.
2. What are the Factors of 5878?
Answer: Factors of 5878 are 1, 2, 2939, 5878. There are 4 integers that are factors of 5878. The greatest factor of 5878 is 5878.
3. What are the Factors of 5882?
Answer: Factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882. There are 8 integers that are factors of 5882. The greatest factor of 5882 is 5882.
4. How to Find the LCM of 5878 and 5882?
Answer:
Least Common Multiple of 5878 and 5882 = 17287198
Step 1: Find the prime factorization of 5878
5878 = 2 x 2939
Step 2: Find the prime factorization of 5882
5882 = 2 x 17 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17287198 = 2 x 17 x 173 x 2939
Step 4: Therefore, the least common multiple of 5878 and 5882 is 17287198.