Least Common Multiple of 3871 and 3875
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3871 and 3875 the smallest integer that is 15000125 that is divisible by both numbers.
Least Common Multiple (LCM) of 3871 and 3875 is 15000125.
LCM(3871,3875) = 15000125
LCM of 3871 and 3875
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3871 and 3875 by Prime method
- Least Common Multiple of 3871 and 3875 with GCF Formula
LCM of 3871 and 3875 is 15000125
Least common multiple can be found by multiplying the highest exponent prime factors of 3871 and 3875. First we will calculate the prime factors of 3871 and 3875.
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
Prime Factorization of 3875
| 5 | 3875 |
| 5 | 775 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 3875 are 5,31. Prime factorization of 3875 in exponential form is:
3875 = 53×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3871 and 3875.
LCM(3871,3875) = 53×72×311×791
LCM(3871,3875) = 15000125
Factors of 3871
List of positive integer factors of 3871 that divides 3871 without a remainder.
1, 7, 49, 79, 553, 3871
Factors of 3875
List of positive integer factors of 3875 that divides 3875 without a remainder.
1, 5, 25, 31, 125, 155, 775, 3875
Least Common Multiple of 3871 and 3875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3871 and 3875, than apply into the LCM equation.
GCF(3871,3875) = 1
LCM(3871,3875) = ( 3871 × 3875) / 1
LCM(3871,3875) = 15000125 / 1
LCM(3871,3875) = 15000125
Properties of LCM 3871 and 3875
(i) The LCM of 3875 and 3871 is associative
LCM of 3871 and 3875 = LCM of 3875 and 3871
Related Least Common Multiples of 3871
Related Least Common Multiples of 3875
Frequently Asked Questions on LCM of 3871 and 3875
1. What is the LCM of 3871 and 3875?
Answer: LCM of 3871 and 3875 is 15000125.
2. 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.
3. What are the Factors of 3875?
Answer: Factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875. There are 8 integers that are factors of 3875. The greatest factor of 3875 is 3875.
4. How to Find the LCM of 3871 and 3875?
Answer:
Least Common Multiple of 3871 and 3875 = 15000125
Step 1: Find the prime factorization of 3871
3871 = 7 x 7 x 79
Step 2: Find the prime factorization of 3875
3875 = 5 x 5 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15000125 = 5 x 5 x 5 x 7 x 7 x 31 x 79
Step 4: Therefore, the least common multiple of 3871 and 3875 is 15000125.