Least Common Multiple of 3309 and 3317
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3309 and 3317 the smallest integer that is 10975953 that is divisible by both numbers.
Least Common Multiple (LCM) of 3309 and 3317 is 10975953.
LCM(3309,3317) = 10975953
LCM of 3309 and 3317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3309 and 3317 by Prime method
- Least Common Multiple of 3309 and 3317 with GCF Formula
LCM of 3309 and 3317 is 10975953
Least common multiple can be found by multiplying the highest exponent prime factors of 3309 and 3317. First we will calculate the prime factors of 3309 and 3317.
Prime Factorization of 3309
| 3 | 3309 |
| 1103 | 1103 |
| 1 |
Prime factors of 3309 are 3,1103. Prime factorization of 3309 in exponential form is:
3309 = 31×11031
Prime Factorization of 3317
| 31 | 3317 |
| 107 | 107 |
| 1 |
Prime factors of 3317 are 31,107. Prime factorization of 3317 in exponential form is:
3317 = 311×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 3309 and 3317.
LCM(3309,3317) = 31×311×1071×11031
LCM(3309,3317) = 10975953
Factors of 3309
List of positive integer factors of 3309 that divides 3309 without a remainder.
1, 3, 1103, 3309
Factors of 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1, 31, 107, 3317
Least Common Multiple of 3309 and 3317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3309 and 3317, than apply into the LCM equation.
GCF(3309,3317) = 1
LCM(3309,3317) = ( 3309 × 3317) / 1
LCM(3309,3317) = 10975953 / 1
LCM(3309,3317) = 10975953
Properties of LCM 3309 and 3317
(i) The LCM of 3317 and 3309 is associative
LCM of 3309 and 3317 = LCM of 3317 and 3309
Related Least Common Multiples of 3309
Related Least Common Multiples of 3317
Frequently Asked Questions on LCM of 3309 and 3317
1. What is the LCM of 3309 and 3317?
Answer: LCM of 3309 and 3317 is 10975953.
2. What are the Factors of 3309?
Answer: Factors of 3309 are 1, 3, 1103, 3309. There are 4 integers that are factors of 3309. The greatest factor of 3309 is 3309.
3. What are the Factors of 3317?
Answer: Factors of 3317 are 1, 31, 107, 3317. There are 4 integers that are factors of 3317. The greatest factor of 3317 is 3317.
4. How to Find the LCM of 3309 and 3317?
Answer:
Least Common Multiple of 3309 and 3317 = 10975953
Step 1: Find the prime factorization of 3309
3309 = 3 x 1103
Step 2: Find the prime factorization of 3317
3317 = 31 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10975953 = 3 x 31 x 107 x 1103
Step 4: Therefore, the least common multiple of 3309 and 3317 is 10975953.