Least Common Multiple of 3893 and 3895
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3893 and 3895 the smallest integer that is 15163235 that is divisible by both numbers.
Least Common Multiple (LCM) of 3893 and 3895 is 15163235.
LCM(3893,3895) = 15163235
LCM of 3893 and 3895
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3893 and 3895 by Prime method
- Least Common Multiple of 3893 and 3895 with GCF Formula
LCM of 3893 and 3895 is 15163235
Least common multiple can be found by multiplying the highest exponent prime factors of 3893 and 3895. First we will calculate the prime factors of 3893 and 3895.
Prime Factorization of 3893
| 17 | 3893 |
| 229 | 229 |
| 1 |
Prime factors of 3893 are 17,229. Prime factorization of 3893 in exponential form is:
3893 = 171×2291
Prime Factorization of 3895
| 5 | 3895 |
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 3895 are 5, 19,41. Prime factorization of 3895 in exponential form is:
3895 = 51×191×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3893 and 3895.
LCM(3893,3895) = 51×171×191×411×2291
LCM(3893,3895) = 15163235
Factors of 3893
List of positive integer factors of 3893 that divides 3893 without a remainder.
1, 17, 229, 3893
Factors of 3895
List of positive integer factors of 3895 that divides 3895 without a remainder.
1, 5, 19, 41, 95, 205, 779, 3895
Least Common Multiple of 3893 and 3895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3893 and 3895, than apply into the LCM equation.
GCF(3893,3895) = 1
LCM(3893,3895) = ( 3893 × 3895) / 1
LCM(3893,3895) = 15163235 / 1
LCM(3893,3895) = 15163235
Properties of LCM 3893 and 3895
(i) The LCM of 3895 and 3893 is associative
LCM of 3893 and 3895 = LCM of 3895 and 3893
Related Least Common Multiples of 3893
Related Least Common Multiples of 3895
Frequently Asked Questions on LCM of 3893 and 3895
1. What is the LCM of 3893 and 3895?
Answer: LCM of 3893 and 3895 is 15163235.
2. What are the Factors of 3893?
Answer: Factors of 3893 are 1, 17, 229, 3893. There are 4 integers that are factors of 3893. The greatest factor of 3893 is 3893.
3. What are the Factors of 3895?
Answer: Factors of 3895 are 1, 5, 19, 41, 95, 205, 779, 3895. There are 8 integers that are factors of 3895. The greatest factor of 3895 is 3895.
4. How to Find the LCM of 3893 and 3895?
Answer:
Least Common Multiple of 3893 and 3895 = 15163235
Step 1: Find the prime factorization of 3893
3893 = 17 x 229
Step 2: Find the prime factorization of 3895
3895 = 5 x 19 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15163235 = 5 x 17 x 19 x 41 x 229
Step 4: Therefore, the least common multiple of 3893 and 3895 is 15163235.