Least Common Multiple of 3879 and 3887
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3879 and 3887 the smallest integer that is 15077673 that is divisible by both numbers.
Least Common Multiple (LCM) of 3879 and 3887 is 15077673.
LCM(3879,3887) = 15077673
LCM of 3879 and 3887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3879 and 3887 by Prime method
- Least Common Multiple of 3879 and 3887 with GCF Formula
LCM of 3879 and 3887 is 15077673
Least common multiple can be found by multiplying the highest exponent prime factors of 3879 and 3887. First we will calculate the prime factors of 3879 and 3887.
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
Prime Factorization of 3887
| 13 | 3887 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 3887 are 13,23. Prime factorization of 3887 in exponential form is:
3887 = 132×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3879 and 3887.
LCM(3879,3887) = 32×132×231×4311
LCM(3879,3887) = 15077673
Factors of 3879
List of positive integer factors of 3879 that divides 3879 without a remainder.
1, 3, 9, 431, 1293, 3879
Factors of 3887
List of positive integer factors of 3887 that divides 3887 without a remainder.
1, 13, 23, 169, 299, 3887
Least Common Multiple of 3879 and 3887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3879 and 3887, than apply into the LCM equation.
GCF(3879,3887) = 1
LCM(3879,3887) = ( 3879 × 3887) / 1
LCM(3879,3887) = 15077673 / 1
LCM(3879,3887) = 15077673
Properties of LCM 3879 and 3887
(i) The LCM of 3887 and 3879 is associative
LCM of 3879 and 3887 = LCM of 3887 and 3879
Related Least Common Multiples of 3879
Related Least Common Multiples of 3887
Frequently Asked Questions on LCM of 3879 and 3887
1. What is the LCM of 3879 and 3887?
Answer: LCM of 3879 and 3887 is 15077673.
2. 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.
3. What are the Factors of 3887?
Answer: Factors of 3887 are 1, 13, 23, 169, 299, 3887. There are 6 integers that are factors of 3887. The greatest factor of 3887 is 3887.
4. How to Find the LCM of 3879 and 3887?
Answer:
Least Common Multiple of 3879 and 3887 = 15077673
Step 1: Find the prime factorization of 3879
3879 = 3 x 3 x 431
Step 2: Find the prime factorization of 3887
3887 = 13 x 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15077673 = 3 x 3 x 13 x 13 x 23 x 431
Step 4: Therefore, the least common multiple of 3879 and 3887 is 15077673.