Least Common Multiple of 353 and 361
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 353 and 361 the smallest integer that is 127433 that is divisible by both numbers.
Least Common Multiple (LCM) of 353 and 361 is 127433.
LCM(353,361) = 127433
LCM of 353 and 361
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 353 and 361 by Prime method
- Least Common Multiple of 353 and 361 with GCF Formula
LCM of 353 and 361 is 127433
Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 361. First we will calculate the prime factors of 353 and 361.
Prime Factorization of 353
| 353 | 353 |
| 1 |
Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:
353 = 3531
Prime Factorization of 361
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:
361 = 192
Now multiplying the highest exponent prime factors to calculate the LCM of 353 and 361.
LCM(353,361) = 192×3531
LCM(353,361) = 127433
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1, 353
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1, 19, 361
Least Common Multiple of 353 and 361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 353 and 361, than apply into the LCM equation.
GCF(353,361) = 1
LCM(353,361) = ( 353 × 361) / 1
LCM(353,361) = 127433 / 1
LCM(353,361) = 127433
Properties of LCM 353 and 361
(i) The LCM of 361 and 353 is associative
LCM of 353 and 361 = LCM of 361 and 353
Related Least Common Multiples of 353
Related Least Common Multiples of 361
Frequently Asked Questions on LCM of 353 and 361
1. What is the LCM of 353 and 361?
Answer: LCM of 353 and 361 is 127433.
2. What are the Factors of 353?
Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.
3. What are the Factors of 361?
Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.
4. How to Find the LCM of 353 and 361?
Answer:
Least Common Multiple of 353 and 361 = 127433
Step 1: Find the prime factorization of 353
353 = 353
Step 2: Find the prime factorization of 361
361 = 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 127433 = 19 x 19 x 353
Step 4: Therefore, the least common multiple of 353 and 361 is 127433.