Least Common Multiple of 6355 and 6363
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 6363 the smallest integer that is 40436865 that is divisible by both numbers.
Least Common Multiple (LCM) of 6355 and 6363 is 40436865.
LCM(6355,6363) = 40436865
LCM of 6355 and 6363
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6355 and 6363 by Prime method
- Least Common Multiple of 6355 and 6363 with GCF Formula
LCM of 6355 and 6363 is 40436865
Least common multiple can be found by multiplying the highest exponent prime factors of 6355 and 6363. First we will calculate the prime factors of 6355 and 6363.
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 6363
| 3 | 6363 |
| 3 | 2121 |
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 6363 are 3, 7,101. Prime factorization of 6363 in exponential form is:
6363 = 32×71×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 6355 and 6363.
LCM(6355,6363) = 32×51×71×311×411×1011
LCM(6355,6363) = 40436865
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 6363
List of positive integer factors of 6363 that divides 6363 without a remainder.
1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363
Least Common Multiple of 6355 and 6363 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 6363, than apply into the LCM equation.
GCF(6355,6363) = 1
LCM(6355,6363) = ( 6355 × 6363) / 1
LCM(6355,6363) = 40436865 / 1
LCM(6355,6363) = 40436865
Properties of LCM 6355 and 6363
(i) The LCM of 6363 and 6355 is associative
LCM of 6355 and 6363 = LCM of 6363 and 6355
Related Least Common Multiples of 6355
Related Least Common Multiples of 6363
Frequently Asked Questions on LCM of 6355 and 6363
1. What is the LCM of 6355 and 6363?
Answer: LCM of 6355 and 6363 is 40436865.
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 6363?
Answer: Factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363. There are 12 integers that are factors of 6363. The greatest factor of 6363 is 6363.
4. How to Find the LCM of 6355 and 6363?
Answer:
Least Common Multiple of 6355 and 6363 = 40436865
Step 1: Find the prime factorization of 6355
6355 = 5 x 31 x 41
Step 2: Find the prime factorization of 6363
6363 = 3 x 3 x 7 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40436865 = 3 x 3 x 5 x 7 x 31 x 41 x 101
Step 4: Therefore, the least common multiple of 6355 and 6363 is 40436865.