Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3341 and 3347 the smallest integer that is 11182327 that is divisible by both numbers.
Least Common Multiple (LCM) of 3341 and 3347 is 11182327.
LCM(3341,3347) = 11182327
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 3341 and 3347. First we will calculate the prime factors of 3341 and 3347.
Prime Factorization of 3341
13 | 3341 |
257 | 257 |
1 |
Prime factors of 3341 are 13,257. Prime factorization of 3341 in exponential form is:
3341 = 131×2571
Prime Factorization of 3347
3347 | 3347 |
1 |
Prime factors of 3347 are 3347. Prime factorization of 3347 in exponential form is:
3347 = 33471
Now multiplying the highest exponent prime factors to calculate the LCM of 3341 and 3347.
LCM(3341,3347) = 131×2571×33471
LCM(3341,3347) = 11182327
Factors of 3341
List of positive integer factors of 3341 that divides 3341 without a remainder.
1, 13, 257, 3341
Factors of 3347
List of positive integer factors of 3347 that divides 3347 without a remainder.
1, 3347
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3341 and 3347, than apply into the LCM equation.
GCF(3341,3347) = 1
LCM(3341,3347) = ( 3341 × 3347) / 1
LCM(3341,3347) = 11182327 / 1
LCM(3341,3347) = 11182327
(i) The LCM of 3347 and 3341 is associative
LCM of 3341 and 3347 = LCM of 3347 and 3341
1. What is the LCM of 3341 and 3347?
Answer: LCM of 3341 and 3347 is 11182327.
2. What are the Factors of 3341?
Answer: Factors of 3341 are 1, 13, 257, 3341. There are 4 integers that are factors of 3341. The greatest factor of 3341 is 3341.
3. What are the Factors of 3347?
Answer: Factors of 3347 are 1, 3347. There are 2 integers that are factors of 3347. The greatest factor of 3347 is 3347.
4. How to Find the LCM of 3341 and 3347?
Answer:
Least Common Multiple of 3341 and 3347 = 11182327
Step 1: Find the prime factorization of 3341
3341 = 13 x 257
Step 2: Find the prime factorization of 3347
3347 = 3347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11182327 = 13 x 257 x 3347
Step 4: Therefore, the least common multiple of 3341 and 3347 is 11182327.