Least Common Multiple of 3395 and 3399
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3395 and 3399 the smallest integer that is 11539605 that is divisible by both numbers.
Least Common Multiple (LCM) of 3395 and 3399 is 11539605.
LCM(3395,3399) = 11539605
LCM of 3395 and 3399
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3395 and 3399 by Prime method
- Least Common Multiple of 3395 and 3399 with GCF Formula
LCM of 3395 and 3399 is 11539605
Least common multiple can be found by multiplying the highest exponent prime factors of 3395 and 3399. First we will calculate the prime factors of 3395 and 3399.
Prime Factorization of 3395
| 5 | 3395 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 3395 are 5, 7,97. Prime factorization of 3395 in exponential form is:
3395 = 51×71×971
Prime Factorization of 3399
| 3 | 3399 |
| 11 | 1133 |
| 103 | 103 |
| 1 |
Prime factors of 3399 are 3, 11,103. Prime factorization of 3399 in exponential form is:
3399 = 31×111×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 3395 and 3399.
LCM(3395,3399) = 31×51×71×111×971×1031
LCM(3395,3399) = 11539605
Factors of 3395
List of positive integer factors of 3395 that divides 3395 without a remainder.
1, 5, 7, 35, 97, 485, 679, 3395
Factors of 3399
List of positive integer factors of 3399 that divides 3399 without a remainder.
1, 3, 11, 33, 103, 309, 1133, 3399
Least Common Multiple of 3395 and 3399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3395 and 3399, than apply into the LCM equation.
GCF(3395,3399) = 1
LCM(3395,3399) = ( 3395 × 3399) / 1
LCM(3395,3399) = 11539605 / 1
LCM(3395,3399) = 11539605
Properties of LCM 3395 and 3399
(i) The LCM of 3399 and 3395 is associative
LCM of 3395 and 3399 = LCM of 3399 and 3395
Related Least Common Multiples of 3395
Related Least Common Multiples of 3399
Frequently Asked Questions on LCM of 3395 and 3399
1. What is the LCM of 3395 and 3399?
Answer: LCM of 3395 and 3399 is 11539605.
2. What are the Factors of 3395?
Answer: Factors of 3395 are 1, 5, 7, 35, 97, 485, 679, 3395. There are 8 integers that are factors of 3395. The greatest factor of 3395 is 3395.
3. What are the Factors of 3399?
Answer: Factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399. There are 8 integers that are factors of 3399. The greatest factor of 3399 is 3399.
4. How to Find the LCM of 3395 and 3399?
Answer:
Least Common Multiple of 3395 and 3399 = 11539605
Step 1: Find the prime factorization of 3395
3395 = 5 x 7 x 97
Step 2: Find the prime factorization of 3399
3399 = 3 x 11 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11539605 = 3 x 5 x 7 x 11 x 97 x 103
Step 4: Therefore, the least common multiple of 3395 and 3399 is 11539605.