Least Common Multiple of 3893 and 3901
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 3901 the smallest integer that is 15186593 that is divisible by both numbers.
Least Common Multiple (LCM) of 3893 and 3901 is 15186593.
LCM(3893,3901) = 15186593
LCM of 3893 and 3901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3893 and 3901 by Prime method
- Least Common Multiple of 3893 and 3901 with GCF Formula
LCM of 3893 and 3901 is 15186593
Least common multiple can be found by multiplying the highest exponent prime factors of 3893 and 3901. First we will calculate the prime factors of 3893 and 3901.
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 3901
| 47 | 3901 |
| 83 | 83 |
| 1 |
Prime factors of 3901 are 47,83. Prime factorization of 3901 in exponential form is:
3901 = 471×831
Now multiplying the highest exponent prime factors to calculate the LCM of 3893 and 3901.
LCM(3893,3901) = 171×471×831×2291
LCM(3893,3901) = 15186593
Factors of 3893
List of positive integer factors of 3893 that divides 3893 without a remainder.
1, 17, 229, 3893
Factors of 3901
List of positive integer factors of 3901 that divides 3901 without a remainder.
1, 47, 83, 3901
Least Common Multiple of 3893 and 3901 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 3901, than apply into the LCM equation.
GCF(3893,3901) = 1
LCM(3893,3901) = ( 3893 × 3901) / 1
LCM(3893,3901) = 15186593 / 1
LCM(3893,3901) = 15186593
Properties of LCM 3893 and 3901
(i) The LCM of 3901 and 3893 is associative
LCM of 3893 and 3901 = LCM of 3901 and 3893
Related Least Common Multiples of 3893
Related Least Common Multiples of 3901
Frequently Asked Questions on LCM of 3893 and 3901
1. What is the LCM of 3893 and 3901?
Answer: LCM of 3893 and 3901 is 15186593.
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 3901?
Answer: Factors of 3901 are 1, 47, 83, 3901. There are 4 integers that are factors of 3901. The greatest factor of 3901 is 3901.
4. How to Find the LCM of 3893 and 3901?
Answer:
Least Common Multiple of 3893 and 3901 = 15186593
Step 1: Find the prime factorization of 3893
3893 = 17 x 229
Step 2: Find the prime factorization of 3901
3901 = 47 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15186593 = 17 x 47 x 83 x 229
Step 4: Therefore, the least common multiple of 3893 and 3901 is 15186593.