Least Common Multiple of 343 and 345
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 343 and 345 the smallest integer that is 118335 that is divisible by both numbers.
Least Common Multiple (LCM) of 343 and 345 is 118335.
LCM(343,345) = 118335
LCM of 343 and 345
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 343 and 345 by Prime method
- Least Common Multiple of 343 and 345 with GCF Formula
LCM of 343 and 345 is 118335
Least common multiple can be found by multiplying the highest exponent prime factors of 343 and 345. First we will calculate the prime factors of 343 and 345.
Prime Factorization of 343
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:
343 = 73
Prime Factorization of 345
| 3 | 345 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 345 are 3, 5,23. Prime factorization of 345 in exponential form is:
345 = 31×51×231
Now multiplying the highest exponent prime factors to calculate the LCM of 343 and 345.
LCM(343,345) = 31×51×73×231
LCM(343,345) = 118335
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Least Common Multiple of 343 and 345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 343 and 345, than apply into the LCM equation.
GCF(343,345) = 1
LCM(343,345) = ( 343 × 345) / 1
LCM(343,345) = 118335 / 1
LCM(343,345) = 118335
Properties of LCM 343 and 345
(i) The LCM of 345 and 343 is associative
LCM of 343 and 345 = LCM of 345 and 343
Related Least Common Multiples of 343
Related Least Common Multiples of 345
Frequently Asked Questions on LCM of 343 and 345
1. What is the LCM of 343 and 345?
Answer: LCM of 343 and 345 is 118335.
2. What are the Factors of 343?
Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.
3. What are the Factors of 345?
Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.
4. How to Find the LCM of 343 and 345?
Answer:
Least Common Multiple of 343 and 345 = 118335
Step 1: Find the prime factorization of 343
343 = 7 x 7 x 7
Step 2: Find the prime factorization of 345
345 = 3 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 118335 = 3 x 5 x 7 x 7 x 7 x 23
Step 4: Therefore, the least common multiple of 343 and 345 is 118335.
