Least Common Multiple of 3367 and 3371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3367 and 3371 the smallest integer that is 11350157 that is divisible by both numbers.
Least Common Multiple (LCM) of 3367 and 3371 is 11350157.
LCM(3367,3371) = 11350157
LCM of 3367 and 3371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3367 and 3371 by Prime method
- Least Common Multiple of 3367 and 3371 with GCF Formula
LCM of 3367 and 3371 is 11350157
Least common multiple can be found by multiplying the highest exponent prime factors of 3367 and 3371. First we will calculate the prime factors of 3367 and 3371.
Prime Factorization of 3367
| 7 | 3367 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 3367 are 7, 13,37. Prime factorization of 3367 in exponential form is:
3367 = 71×131×371
Prime Factorization of 3371
| 3371 | 3371 |
| 1 |
Prime factors of 3371 are 3371. Prime factorization of 3371 in exponential form is:
3371 = 33711
Now multiplying the highest exponent prime factors to calculate the LCM of 3367 and 3371.
LCM(3367,3371) = 71×131×371×33711
LCM(3367,3371) = 11350157
Factors of 3367
List of positive integer factors of 3367 that divides 3367 without a remainder.
1, 7, 13, 37, 91, 259, 481, 3367
Factors of 3371
List of positive integer factors of 3371 that divides 3371 without a remainder.
1, 3371
Least Common Multiple of 3367 and 3371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3367 and 3371, than apply into the LCM equation.
GCF(3367,3371) = 1
LCM(3367,3371) = ( 3367 × 3371) / 1
LCM(3367,3371) = 11350157 / 1
LCM(3367,3371) = 11350157
Properties of LCM 3367 and 3371
(i) The LCM of 3371 and 3367 is associative
LCM of 3367 and 3371 = LCM of 3371 and 3367
Related Least Common Multiples of 3367
Related Least Common Multiples of 3371
Frequently Asked Questions on LCM of 3367 and 3371
1. What is the LCM of 3367 and 3371?
Answer: LCM of 3367 and 3371 is 11350157.
2. What are the Factors of 3367?
Answer: Factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367. There are 8 integers that are factors of 3367. The greatest factor of 3367 is 3367.
3. What are the Factors of 3371?
Answer: Factors of 3371 are 1, 3371. There are 2 integers that are factors of 3371. The greatest factor of 3371 is 3371.
4. How to Find the LCM of 3367 and 3371?
Answer:
Least Common Multiple of 3367 and 3371 = 11350157
Step 1: Find the prime factorization of 3367
3367 = 7 x 13 x 37
Step 2: Find the prime factorization of 3371
3371 = 3371
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11350157 = 7 x 13 x 37 x 3371
Step 4: Therefore, the least common multiple of 3367 and 3371 is 11350157.