Least Common Multiple of 2346 and 2351
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2346 and 2351 the smallest integer that is 5515446 that is divisible by both numbers.
Least Common Multiple (LCM) of 2346 and 2351 is 5515446.
LCM(2346,2351) = 5515446
LCM of 2346 and 2351
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2346 and 2351 by Prime method
- Least Common Multiple of 2346 and 2351 with GCF Formula
LCM of 2346 and 2351 is 5515446
Least common multiple can be found by multiplying the highest exponent prime factors of 2346 and 2351. First we will calculate the prime factors of 2346 and 2351.
Prime Factorization of 2346
| 2 | 2346 |
| 3 | 1173 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 2346 are 2, 3, 17,23. Prime factorization of 2346 in exponential form is:
2346 = 21×31×171×231
Prime Factorization of 2351
| 2351 | 2351 |
| 1 |
Prime factors of 2351 are 2351. Prime factorization of 2351 in exponential form is:
2351 = 23511
Now multiplying the highest exponent prime factors to calculate the LCM of 2346 and 2351.
LCM(2346,2351) = 21×31×171×231×23511
LCM(2346,2351) = 5515446
Factors of 2346
List of positive integer factors of 2346 that divides 2346 without a remainder.
1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346
Factors of 2351
List of positive integer factors of 2351 that divides 2351 without a remainder.
1, 2351
Least Common Multiple of 2346 and 2351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2346 and 2351, than apply into the LCM equation.
GCF(2346,2351) = 1
LCM(2346,2351) = ( 2346 × 2351) / 1
LCM(2346,2351) = 5515446 / 1
LCM(2346,2351) = 5515446
Properties of LCM 2346 and 2351
(i) The LCM of 2351 and 2346 is associative
LCM of 2346 and 2351 = LCM of 2351 and 2346
Related Least Common Multiples of 2346
Related Least Common Multiples of 2351
Frequently Asked Questions on LCM of 2346 and 2351
1. What is the LCM of 2346 and 2351?
Answer: LCM of 2346 and 2351 is 5515446.
2. What are the Factors of 2346?
Answer: Factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346. There are 16 integers that are factors of 2346. The greatest factor of 2346 is 2346.
3. What are the Factors of 2351?
Answer: Factors of 2351 are 1, 2351. There are 2 integers that are factors of 2351. The greatest factor of 2351 is 2351.
4. How to Find the LCM of 2346 and 2351?
Answer:
Least Common Multiple of 2346 and 2351 = 5515446
Step 1: Find the prime factorization of 2346
2346 = 2 x 3 x 17 x 23
Step 2: Find the prime factorization of 2351
2351 = 2351
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5515446 = 2 x 3 x 17 x 23 x 2351
Step 4: Therefore, the least common multiple of 2346 and 2351 is 5515446.