Least Common Multiple of 355 and 363
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 355 and 363 the smallest integer that is 128865 that is divisible by both numbers.
Least Common Multiple (LCM) of 355 and 363 is 128865.
LCM(355,363) = 128865
LCM of 355 and 363
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 355 and 363 by Prime method
- Least Common Multiple of 355 and 363 with GCF Formula
LCM of 355 and 363 is 128865
Least common multiple can be found by multiplying the highest exponent prime factors of 355 and 363. First we will calculate the prime factors of 355 and 363.
Prime Factorization of 355
| 5 | 355 |
| 71 | 71 |
| 1 |
Prime factors of 355 are 5,71. Prime factorization of 355 in exponential form is:
355 = 51×711
Prime Factorization of 363
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 363 are 3,11. Prime factorization of 363 in exponential form is:
363 = 31×112
Now multiplying the highest exponent prime factors to calculate the LCM of 355 and 363.
LCM(355,363) = 31×51×112×711
LCM(355,363) = 128865
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Least Common Multiple of 355 and 363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 355 and 363, than apply into the LCM equation.
GCF(355,363) = 1
LCM(355,363) = ( 355 × 363) / 1
LCM(355,363) = 128865 / 1
LCM(355,363) = 128865
Properties of LCM 355 and 363
(i) The LCM of 363 and 355 is associative
LCM of 355 and 363 = LCM of 363 and 355
Related Least Common Multiples of 355
Related Least Common Multiples of 363
Frequently Asked Questions on LCM of 355 and 363
1. What is the LCM of 355 and 363?
Answer: LCM of 355 and 363 is 128865.
2. What are the Factors of 355?
Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.
3. What are the Factors of 363?
Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.
4. How to Find the LCM of 355 and 363?
Answer:
Least Common Multiple of 355 and 363 = 128865
Step 1: Find the prime factorization of 355
355 = 5 x 71
Step 2: Find the prime factorization of 363
363 = 3 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 128865 = 3 x 5 x 11 x 11 x 71
Step 4: Therefore, the least common multiple of 355 and 363 is 128865.