Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5875 and 5876 the smallest integer that is 34521500 that is divisible by both numbers.
Least Common Multiple (LCM) of 5875 and 5876 is 34521500.
LCM(5875,5876) = 34521500
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 5875 and 5876. First we will calculate the prime factors of 5875 and 5876.
Prime Factorization of 5875
5 | 5875 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 5875 are 5,47. Prime factorization of 5875 in exponential form is:
5875 = 53×471
Prime Factorization of 5876
2 | 5876 |
2 | 2938 |
13 | 1469 |
113 | 113 |
1 |
Prime factors of 5876 are 2, 13,113. Prime factorization of 5876 in exponential form is:
5876 = 22×131×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 5875 and 5876.
LCM(5875,5876) = 22×53×131×471×1131
LCM(5875,5876) = 34521500
Factors of 5875
List of positive integer factors of 5875 that divides 5875 without a remainder.
1, 5, 25, 47, 125, 235, 1175, 5875
Factors of 5876
List of positive integer factors of 5876 that divides 5876 without a remainder.
1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5875 and 5876, than apply into the LCM equation.
GCF(5875,5876) = 1
LCM(5875,5876) = ( 5875 × 5876) / 1
LCM(5875,5876) = 34521500 / 1
LCM(5875,5876) = 34521500
(i) The LCM of 5876 and 5875 is associative
LCM of 5875 and 5876 = LCM of 5876 and 5875
1. What is the LCM of 5875 and 5876?
Answer: LCM of 5875 and 5876 is 34521500.
2. What are the Factors of 5875?
Answer: Factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875. There are 8 integers that are factors of 5875. The greatest factor of 5875 is 5875.
3. What are the Factors of 5876?
Answer: Factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876. There are 12 integers that are factors of 5876. The greatest factor of 5876 is 5876.
4. How to Find the LCM of 5875 and 5876?
Answer:
Least Common Multiple of 5875 and 5876 = 34521500
Step 1: Find the prime factorization of 5875
5875 = 5 x 5 x 5 x 47
Step 2: Find the prime factorization of 5876
5876 = 2 x 2 x 13 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34521500 = 2 x 2 x 5 x 5 x 5 x 13 x 47 x 113
Step 4: Therefore, the least common multiple of 5875 and 5876 is 34521500.