Least Common Multiple of 3893 and 3898
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 3898 the smallest integer that is 15174914 that is divisible by both numbers.
Least Common Multiple (LCM) of 3893 and 3898 is 15174914.
LCM(3893,3898) = 15174914
LCM of 3893 and 3898
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3893 and 3898 by Prime method
- Least Common Multiple of 3893 and 3898 with GCF Formula
LCM of 3893 and 3898 is 15174914
Least common multiple can be found by multiplying the highest exponent prime factors of 3893 and 3898. First we will calculate the prime factors of 3893 and 3898.
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 3898
| 2 | 3898 |
| 1949 | 1949 |
| 1 |
Prime factors of 3898 are 2,1949. Prime factorization of 3898 in exponential form is:
3898 = 21×19491
Now multiplying the highest exponent prime factors to calculate the LCM of 3893 and 3898.
LCM(3893,3898) = 21×171×2291×19491
LCM(3893,3898) = 15174914
Factors of 3893
List of positive integer factors of 3893 that divides 3893 without a remainder.
1, 17, 229, 3893
Factors of 3898
List of positive integer factors of 3898 that divides 3898 without a remainder.
1, 2, 1949, 3898
Least Common Multiple of 3893 and 3898 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 3898, than apply into the LCM equation.
GCF(3893,3898) = 1
LCM(3893,3898) = ( 3893 × 3898) / 1
LCM(3893,3898) = 15174914 / 1
LCM(3893,3898) = 15174914
Properties of LCM 3893 and 3898
(i) The LCM of 3898 and 3893 is associative
LCM of 3893 and 3898 = LCM of 3898 and 3893
Related Least Common Multiples of 3893
Related Least Common Multiples of 3898
Frequently Asked Questions on LCM of 3893 and 3898
1. What is the LCM of 3893 and 3898?
Answer: LCM of 3893 and 3898 is 15174914.
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 3898?
Answer: Factors of 3898 are 1, 2, 1949, 3898. There are 4 integers that are factors of 3898. The greatest factor of 3898 is 3898.
4. How to Find the LCM of 3893 and 3898?
Answer:
Least Common Multiple of 3893 and 3898 = 15174914
Step 1: Find the prime factorization of 3893
3893 = 17 x 229
Step 2: Find the prime factorization of 3898
3898 = 2 x 1949
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15174914 = 2 x 17 x 229 x 1949
Step 4: Therefore, the least common multiple of 3893 and 3898 is 15174914.