Least Common Multiple of 333 and 341
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 333 and 341 the smallest integer that is 113553 that is divisible by both numbers.
Least Common Multiple (LCM) of 333 and 341 is 113553.
LCM(333,341) = 113553
LCM of 333 and 341
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 333 and 341 by Prime method
- Least Common Multiple of 333 and 341 with GCF Formula
LCM of 333 and 341 is 113553
Least common multiple can be found by multiplying the highest exponent prime factors of 333 and 341. First we will calculate the prime factors of 333 and 341.
Prime Factorization of 333
| 3 | 333 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 333 are 3,37. Prime factorization of 333 in exponential form is:
333 = 32×371
Prime Factorization of 341
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 341 are 11,31. Prime factorization of 341 in exponential form is:
341 = 111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 341.
LCM(333,341) = 32×111×311×371
LCM(333,341) = 113553
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Least Common Multiple of 333 and 341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 333 and 341, than apply into the LCM equation.
GCF(333,341) = 1
LCM(333,341) = ( 333 × 341) / 1
LCM(333,341) = 113553 / 1
LCM(333,341) = 113553
Properties of LCM 333 and 341
(i) The LCM of 341 and 333 is associative
LCM of 333 and 341 = LCM of 341 and 333
Related Least Common Multiples of 333
Related Least Common Multiples of 341
Frequently Asked Questions on LCM of 333 and 341
1. What is the LCM of 333 and 341?
Answer: LCM of 333 and 341 is 113553.
2. What are the Factors of 333?
Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.
3. What are the Factors of 341?
Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.
4. How to Find the LCM of 333 and 341?
Answer:
Least Common Multiple of 333 and 341 = 113553
Step 1: Find the prime factorization of 333
333 = 3 x 3 x 37
Step 2: Find the prime factorization of 341
341 = 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 113553 = 3 x 3 x 11 x 31 x 37
Step 4: Therefore, the least common multiple of 333 and 341 is 113553.
