Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5868 and 5875 the smallest integer that is 34474500 that is divisible by both numbers.
Least Common Multiple (LCM) of 5868 and 5875 is 34474500.
LCM(5868,5875) = 34474500
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 5868 and 5875. First we will calculate the prime factors of 5868 and 5875.
Prime Factorization of 5868
2 | 5868 |
2 | 2934 |
3 | 1467 |
3 | 489 |
163 | 163 |
1 |
Prime factors of 5868 are 2, 3,163. Prime factorization of 5868 in exponential form is:
5868 = 22×32×1631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5875.
LCM(5868,5875) = 22×32×53×471×1631
LCM(5868,5875) = 34474500
Factors of 5868
List of positive integer factors of 5868 that divides 5868 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868
Factors of 5875
List of positive integer factors of 5875 that divides 5875 without a remainder.
1, 5, 25, 47, 125, 235, 1175, 5875
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5868 and 5875, than apply into the LCM equation.
GCF(5868,5875) = 1
LCM(5868,5875) = ( 5868 × 5875) / 1
LCM(5868,5875) = 34474500 / 1
LCM(5868,5875) = 34474500
(i) The LCM of 5875 and 5868 is associative
LCM of 5868 and 5875 = LCM of 5875 and 5868
1. What is the LCM of 5868 and 5875?
Answer: LCM of 5868 and 5875 is 34474500.
2. What are the Factors of 5868?
Answer: Factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868. There are 18 integers that are factors of 5868. The greatest factor of 5868 is 5868.
3. 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.
4. How to Find the LCM of 5868 and 5875?
Answer:
Least Common Multiple of 5868 and 5875 = 34474500
Step 1: Find the prime factorization of 5868
5868 = 2 x 2 x 3 x 3 x 163
Step 2: Find the prime factorization of 5875
5875 = 5 x 5 x 5 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34474500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 47 x 163
Step 4: Therefore, the least common multiple of 5868 and 5875 is 34474500.