Least Common Multiple of 335 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 335 and 341 the smallest integer that is 114235 that is divisible by both numbers.
Least Common Multiple (LCM) of 335 and 341 is 114235.
LCM(335,341) = 114235
LCM of 335 and 341
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 335 and 341 by Prime method
- Least Common Multiple of 335 and 341 with GCF Formula
LCM of 335 and 341 is 114235
Least common multiple can be found by multiplying the highest exponent prime factors of 335 and 341. First we will calculate the prime factors of 335 and 341.
Prime Factorization of 335
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:
335 = 51×671
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 335 and 341.
LCM(335,341) = 51×111×311×671
LCM(335,341) = 114235
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Least Common Multiple of 335 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 335 and 341, than apply into the LCM equation.
GCF(335,341) = 1
LCM(335,341) = ( 335 × 341) / 1
LCM(335,341) = 114235 / 1
LCM(335,341) = 114235
Properties of LCM 335 and 341
(i) The LCM of 341 and 335 is associative
LCM of 335 and 341 = LCM of 341 and 335
Related Least Common Multiples of 335
Related Least Common Multiples of 341
Frequently Asked Questions on LCM of 335 and 341
1. What is the LCM of 335 and 341?
Answer: LCM of 335 and 341 is 114235.
2. What are the Factors of 335?
Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.
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 335 and 341?
Answer:
Least Common Multiple of 335 and 341 = 114235
Step 1: Find the prime factorization of 335
335 = 5 x 67
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 = 114235 = 5 x 11 x 31 x 67
Step 4: Therefore, the least common multiple of 335 and 341 is 114235.