Least Common Multiple of 6355 and 6361
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6355 and 6361 the smallest integer that is 40424155 that is divisible by both numbers.
Least Common Multiple (LCM) of 6355 and 6361 is 40424155.
LCM(6355,6361) = 40424155
LCM of 6355 and 6361
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6355 and 6361 by Prime method
- Least Common Multiple of 6355 and 6361 with GCF Formula
LCM of 6355 and 6361 is 40424155
Least common multiple can be found by multiplying the highest exponent prime factors of 6355 and 6361. First we will calculate the prime factors of 6355 and 6361.
Prime Factorization of 6355
| 5 | 6355 |
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 6355 are 5, 31,41. Prime factorization of 6355 in exponential form is:
6355 = 51×311×411
Prime Factorization of 6361
| 6361 | 6361 |
| 1 |
Prime factors of 6361 are 6361. Prime factorization of 6361 in exponential form is:
6361 = 63611
Now multiplying the highest exponent prime factors to calculate the LCM of 6355 and 6361.
LCM(6355,6361) = 51×311×411×63611
LCM(6355,6361) = 40424155
Factors of 6355
List of positive integer factors of 6355 that divides 6355 without a remainder.
1, 5, 31, 41, 155, 205, 1271, 6355
Factors of 6361
List of positive integer factors of 6361 that divides 6361 without a remainder.
1, 6361
Least Common Multiple of 6355 and 6361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6355 and 6361, than apply into the LCM equation.
GCF(6355,6361) = 1
LCM(6355,6361) = ( 6355 × 6361) / 1
LCM(6355,6361) = 40424155 / 1
LCM(6355,6361) = 40424155
Properties of LCM 6355 and 6361
(i) The LCM of 6361 and 6355 is associative
LCM of 6355 and 6361 = LCM of 6361 and 6355
Related Least Common Multiples of 6355
Related Least Common Multiples of 6361
Frequently Asked Questions on LCM of 6355 and 6361
1. What is the LCM of 6355 and 6361?
Answer: LCM of 6355 and 6361 is 40424155.
2. What are the Factors of 6355?
Answer: Factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355. There are 8 integers that are factors of 6355. The greatest factor of 6355 is 6355.
3. What are the Factors of 6361?
Answer: Factors of 6361 are 1, 6361. There are 2 integers that are factors of 6361. The greatest factor of 6361 is 6361.
4. How to Find the LCM of 6355 and 6361?
Answer:
Least Common Multiple of 6355 and 6361 = 40424155
Step 1: Find the prime factorization of 6355
6355 = 5 x 31 x 41
Step 2: Find the prime factorization of 6361
6361 = 6361
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40424155 = 5 x 31 x 41 x 6361
Step 4: Therefore, the least common multiple of 6355 and 6361 is 40424155.