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 347 the smallest integer that is 117633 that is divisible by both numbers.
Least Common Multiple (LCM) of 339 and 347 is 117633.
LCM(339,347) = 117633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 339 and 347. First we will calculate the prime factors of 339 and 347.
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 347
347 | 347 |
1 |
Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:
347 = 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 339 and 347.
LCM(339,347) = 31×1131×3471
LCM(339,347) = 117633
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1, 347
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 339 and 347, than apply into the LCM equation.
GCF(339,347) = 1
LCM(339,347) = ( 339 × 347) / 1
LCM(339,347) = 117633 / 1
LCM(339,347) = 117633
(i) The LCM of 347 and 339 is associative
LCM of 339 and 347 = LCM of 347 and 339
1. What is the LCM of 339 and 347?
Answer: LCM of 339 and 347 is 117633.
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 347?
Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.
4. How to Find the LCM of 339 and 347?
Answer:
Least Common Multiple of 339 and 347 = 117633
Step 1: Find the prime factorization of 339
339 = 3 x 113
Step 2: Find the prime factorization of 347
347 = 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 117633 = 3 x 113 x 347
Step 4: Therefore, the least common multiple of 339 and 347 is 117633.