Least Common Multiple of 339 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 339 and 341 the smallest integer that is 115599 that is divisible by both numbers.
Least Common Multiple (LCM) of 339 and 341 is 115599.
LCM(339,341) = 115599
LCM of 339 and 341
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 339 and 341 by Prime method
- Least Common Multiple of 339 and 341 with GCF Formula
LCM of 339 and 341 is 115599
Least common multiple can be found by multiplying the highest exponent prime factors of 339 and 341. First we will calculate the prime factors of 339 and 341.
Prime Factorization of 339
| 3 | 339 |
| 113 | 113 |
| 1 |
Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:
339 = 31×1131
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 339 and 341.
LCM(339,341) = 31×111×311×1131
LCM(339,341) = 115599
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Least Common Multiple of 339 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 339 and 341, than apply into the LCM equation.
GCF(339,341) = 1
LCM(339,341) = ( 339 × 341) / 1
LCM(339,341) = 115599 / 1
LCM(339,341) = 115599
Properties of LCM 339 and 341
(i) The LCM of 341 and 339 is associative
LCM of 339 and 341 = LCM of 341 and 339
Related Least Common Multiples of 339
Related Least Common Multiples of 341
Frequently Asked Questions on LCM of 339 and 341
1. What is the LCM of 339 and 341?
Answer: LCM of 339 and 341 is 115599.
2. What are the Factors of 339?
Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.
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 339 and 341?
Answer:
Least Common Multiple of 339 and 341 = 115599
Step 1: Find the prime factorization of 339
339 = 3 x 113
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 = 115599 = 3 x 11 x 31 x 113
Step 4: Therefore, the least common multiple of 339 and 341 is 115599.
