Least Common Multiple of 6394 and 6401
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6394 and 6401 the smallest integer that is 40927994 that is divisible by both numbers.
Least Common Multiple (LCM) of 6394 and 6401 is 40927994.
LCM(6394,6401) = 40927994
LCM of 6394 and 6401
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6394 and 6401 by Prime method
- Least Common Multiple of 6394 and 6401 with GCF Formula
LCM of 6394 and 6401 is 40927994
Least common multiple can be found by multiplying the highest exponent prime factors of 6394 and 6401. First we will calculate the prime factors of 6394 and 6401.
Prime Factorization of 6394
| 2 | 6394 |
| 23 | 3197 |
| 139 | 139 |
| 1 |
Prime factors of 6394 are 2, 23,139. Prime factorization of 6394 in exponential form is:
6394 = 21×231×1391
Prime Factorization of 6401
| 37 | 6401 |
| 173 | 173 |
| 1 |
Prime factors of 6401 are 37,173. Prime factorization of 6401 in exponential form is:
6401 = 371×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 6394 and 6401.
LCM(6394,6401) = 21×231×371×1391×1731
LCM(6394,6401) = 40927994
Factors of 6394
List of positive integer factors of 6394 that divides 6394 without a remainder.
1, 2, 23, 46, 139, 278, 3197, 6394
Factors of 6401
List of positive integer factors of 6401 that divides 6401 without a remainder.
1, 37, 173, 6401
Least Common Multiple of 6394 and 6401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6394 and 6401, than apply into the LCM equation.
GCF(6394,6401) = 1
LCM(6394,6401) = ( 6394 × 6401) / 1
LCM(6394,6401) = 40927994 / 1
LCM(6394,6401) = 40927994
Properties of LCM 6394 and 6401
(i) The LCM of 6401 and 6394 is associative
LCM of 6394 and 6401 = LCM of 6401 and 6394
Related Least Common Multiples of 6394
Related Least Common Multiples of 6401
Frequently Asked Questions on LCM of 6394 and 6401
1. What is the LCM of 6394 and 6401?
Answer: LCM of 6394 and 6401 is 40927994.
2. What are the Factors of 6394?
Answer: Factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394. There are 8 integers that are factors of 6394. The greatest factor of 6394 is 6394.
3. What are the Factors of 6401?
Answer: Factors of 6401 are 1, 37, 173, 6401. There are 4 integers that are factors of 6401. The greatest factor of 6401 is 6401.
4. How to Find the LCM of 6394 and 6401?
Answer:
Least Common Multiple of 6394 and 6401 = 40927994
Step 1: Find the prime factorization of 6394
6394 = 2 x 23 x 139
Step 2: Find the prime factorization of 6401
6401 = 37 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40927994 = 2 x 23 x 37 x 139 x 173
Step 4: Therefore, the least common multiple of 6394 and 6401 is 40927994.