Least Common Multiple of 359 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 359 and 363 the smallest integer that is 130317 that is divisible by both numbers.
Least Common Multiple (LCM) of 359 and 363 is 130317.
LCM(359,363) = 130317
LCM of 359 and 363
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 359 and 363 by Prime method
- Least Common Multiple of 359 and 363 with GCF Formula
LCM of 359 and 363 is 130317
Least common multiple can be found by multiplying the highest exponent prime factors of 359 and 363. First we will calculate the prime factors of 359 and 363.
Prime Factorization of 359
| 359 | 359 |
| 1 |
Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:
359 = 3591
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 359 and 363.
LCM(359,363) = 31×112×3591
LCM(359,363) = 130317
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1, 359
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 359 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 359 and 363, than apply into the LCM equation.
GCF(359,363) = 1
LCM(359,363) = ( 359 × 363) / 1
LCM(359,363) = 130317 / 1
LCM(359,363) = 130317
Properties of LCM 359 and 363
(i) The LCM of 363 and 359 is associative
LCM of 359 and 363 = LCM of 363 and 359
Related Least Common Multiples of 359
Related Least Common Multiples of 363
Frequently Asked Questions on LCM of 359 and 363
1. What is the LCM of 359 and 363?
Answer: LCM of 359 and 363 is 130317.
2. What are the Factors of 359?
Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.
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 359 and 363?
Answer:
Least Common Multiple of 359 and 363 = 130317
Step 1: Find the prime factorization of 359
359 = 359
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 = 130317 = 3 x 11 x 11 x 359
Step 4: Therefore, the least common multiple of 359 and 363 is 130317.