Least Common Multiple of 3865 and 3871
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3865 and 3871 the smallest integer that is 14961415 that is divisible by both numbers.
Least Common Multiple (LCM) of 3865 and 3871 is 14961415.
LCM(3865,3871) = 14961415
LCM of 3865 and 3871
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3865 and 3871 by Prime method
- Least Common Multiple of 3865 and 3871 with GCF Formula
LCM of 3865 and 3871 is 14961415
Least common multiple can be found by multiplying the highest exponent prime factors of 3865 and 3871. First we will calculate the prime factors of 3865 and 3871.
Prime Factorization of 3865
| 5 | 3865 |
| 773 | 773 |
| 1 |
Prime factors of 3865 are 5,773. Prime factorization of 3865 in exponential form is:
3865 = 51×7731
Prime Factorization of 3871
| 7 | 3871 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 3871 are 7,79. Prime factorization of 3871 in exponential form is:
3871 = 72×791
Now multiplying the highest exponent prime factors to calculate the LCM of 3865 and 3871.
LCM(3865,3871) = 51×72×791×7731
LCM(3865,3871) = 14961415
Factors of 3865
List of positive integer factors of 3865 that divides 3865 without a remainder.
1, 5, 773, 3865
Factors of 3871
List of positive integer factors of 3871 that divides 3871 without a remainder.
1, 7, 49, 79, 553, 3871
Least Common Multiple of 3865 and 3871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3865 and 3871, than apply into the LCM equation.
GCF(3865,3871) = 1
LCM(3865,3871) = ( 3865 × 3871) / 1
LCM(3865,3871) = 14961415 / 1
LCM(3865,3871) = 14961415
Properties of LCM 3865 and 3871
(i) The LCM of 3871 and 3865 is associative
LCM of 3865 and 3871 = LCM of 3871 and 3865
Related Least Common Multiples of 3865
Related Least Common Multiples of 3871
Frequently Asked Questions on LCM of 3865 and 3871
1. What is the LCM of 3865 and 3871?
Answer: LCM of 3865 and 3871 is 14961415.
2. What are the Factors of 3865?
Answer: Factors of 3865 are 1, 5, 773, 3865. There are 4 integers that are factors of 3865. The greatest factor of 3865 is 3865.
3. What are the Factors of 3871?
Answer: Factors of 3871 are 1, 7, 49, 79, 553, 3871. There are 6 integers that are factors of 3871. The greatest factor of 3871 is 3871.
4. How to Find the LCM of 3865 and 3871?
Answer:
Least Common Multiple of 3865 and 3871 = 14961415
Step 1: Find the prime factorization of 3865
3865 = 5 x 773
Step 2: Find the prime factorization of 3871
3871 = 7 x 7 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14961415 = 5 x 7 x 7 x 79 x 773
Step 4: Therefore, the least common multiple of 3865 and 3871 is 14961415.