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 5871 the smallest integer that is 11483676 that is divisible by both numbers.
Least Common Multiple (LCM) of 5868 and 5871 is 11483676.
LCM(5868,5871) = 11483676
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 5871. First we will calculate the prime factors of 5868 and 5871.
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 5871
3 | 5871 |
19 | 1957 |
103 | 103 |
1 |
Prime factors of 5871 are 3, 19,103. Prime factorization of 5871 in exponential form is:
5871 = 31×191×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5871.
LCM(5868,5871) = 22×32×191×1031×1631
LCM(5868,5871) = 11483676
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 5871
List of positive integer factors of 5871 that divides 5871 without a remainder.
1, 3, 19, 57, 103, 309, 1957, 5871
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5868 and 5871, than apply into the LCM equation.
GCF(5868,5871) = 3
LCM(5868,5871) = ( 5868 × 5871) / 3
LCM(5868,5871) = 34451028 / 3
LCM(5868,5871) = 11483676
(i) The LCM of 5871 and 5868 is associative
LCM of 5868 and 5871 = LCM of 5871 and 5868
1. What is the LCM of 5868 and 5871?
Answer: LCM of 5868 and 5871 is 11483676.
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 5871?
Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.
4. How to Find the LCM of 5868 and 5871?
Answer:
Least Common Multiple of 5868 and 5871 = 11483676
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 5871
5871 = 3 x 19 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11483676 = 2 x 2 x 3 x 3 x 19 x 103 x 163
Step 4: Therefore, the least common multiple of 5868 and 5871 is 11483676.