Least Common Multiple of 3875 and 3879
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3875 and 3879 the smallest integer that is 15031125 that is divisible by both numbers.
Least Common Multiple (LCM) of 3875 and 3879 is 15031125.
LCM(3875,3879) = 15031125
LCM of 3875 and 3879
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3875 and 3879 by Prime method
- Least Common Multiple of 3875 and 3879 with GCF Formula
LCM of 3875 and 3879 is 15031125
Least common multiple can be found by multiplying the highest exponent prime factors of 3875 and 3879. First we will calculate the prime factors of 3875 and 3879.
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
Prime Factorization of 3879
| 3 | 3879 |
| 3 | 1293 |
| 431 | 431 |
| 1 |
Prime factors of 3879 are 3,431. Prime factorization of 3879 in exponential form is:
3879 = 32×4311
Now multiplying the highest exponent prime factors to calculate the LCM of 3875 and 3879.
LCM(3875,3879) = 32×53×311×4311
LCM(3875,3879) = 15031125
Factors of 3875
List of positive integer factors of 3875 that divides 3875 without a remainder.
1, 5, 25, 31, 125, 155, 775, 3875
Factors of 3879
List of positive integer factors of 3879 that divides 3879 without a remainder.
1, 3, 9, 431, 1293, 3879
Least Common Multiple of 3875 and 3879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3875 and 3879, than apply into the LCM equation.
GCF(3875,3879) = 1
LCM(3875,3879) = ( 3875 × 3879) / 1
LCM(3875,3879) = 15031125 / 1
LCM(3875,3879) = 15031125
Properties of LCM 3875 and 3879
(i) The LCM of 3879 and 3875 is associative
LCM of 3875 and 3879 = LCM of 3879 and 3875
Related Least Common Multiples of 3875
Related Least Common Multiples of 3879
Frequently Asked Questions on LCM of 3875 and 3879
1. What is the LCM of 3875 and 3879?
Answer: LCM of 3875 and 3879 is 15031125.
2. 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.
3. What are the Factors of 3879?
Answer: Factors of 3879 are 1, 3, 9, 431, 1293, 3879. There are 6 integers that are factors of 3879. The greatest factor of 3879 is 3879.
4. How to Find the LCM of 3875 and 3879?
Answer:
Least Common Multiple of 3875 and 3879 = 15031125
Step 1: Find the prime factorization of 3875
3875 = 5 x 5 x 5 x 31
Step 2: Find the prime factorization of 3879
3879 = 3 x 3 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15031125 = 3 x 3 x 5 x 5 x 5 x 31 x 431
Step 4: Therefore, the least common multiple of 3875 and 3879 is 15031125.