Least Common Multiple of 3395 and 3401
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 3401 the smallest integer that is 11546395 that is divisible by both numbers.
Least Common Multiple (LCM) of 3395 and 3401 is 11546395.
LCM(3395,3401) = 11546395
LCM of 3395 and 3401
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3395 and 3401 by Prime method
- Least Common Multiple of 3395 and 3401 with GCF Formula
LCM of 3395 and 3401 is 11546395
Least common multiple can be found by multiplying the highest exponent prime factors of 3395 and 3401. First we will calculate the prime factors of 3395 and 3401.
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 3401
| 19 | 3401 |
| 179 | 179 |
| 1 |
Prime factors of 3401 are 19,179. Prime factorization of 3401 in exponential form is:
3401 = 191×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 3395 and 3401.
LCM(3395,3401) = 51×71×191×971×1791
LCM(3395,3401) = 11546395
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 3401
List of positive integer factors of 3401 that divides 3401 without a remainder.
1, 19, 179, 3401
Least Common Multiple of 3395 and 3401 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 3401, than apply into the LCM equation.
GCF(3395,3401) = 1
LCM(3395,3401) = ( 3395 × 3401) / 1
LCM(3395,3401) = 11546395 / 1
LCM(3395,3401) = 11546395
Properties of LCM 3395 and 3401
(i) The LCM of 3401 and 3395 is associative
LCM of 3395 and 3401 = LCM of 3401 and 3395
Related Least Common Multiples of 3395
Related Least Common Multiples of 3401
Frequently Asked Questions on LCM of 3395 and 3401
1. What is the LCM of 3395 and 3401?
Answer: LCM of 3395 and 3401 is 11546395.
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 3401?
Answer: Factors of 3401 are 1, 19, 179, 3401. There are 4 integers that are factors of 3401. The greatest factor of 3401 is 3401.
4. How to Find the LCM of 3395 and 3401?
Answer:
Least Common Multiple of 3395 and 3401 = 11546395
Step 1: Find the prime factorization of 3395
3395 = 5 x 7 x 97
Step 2: Find the prime factorization of 3401
3401 = 19 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11546395 = 5 x 7 x 19 x 97 x 179
Step 4: Therefore, the least common multiple of 3395 and 3401 is 11546395.