Least Common Multiple of 2359 and 2366
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2359 and 2366 the smallest integer that is 797342 that is divisible by both numbers.
Least Common Multiple (LCM) of 2359 and 2366 is 797342.
LCM(2359,2366) = 797342
LCM of 2359 and 2366
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2359 and 2366 by Prime method
- Least Common Multiple of 2359 and 2366 with GCF Formula
LCM of 2359 and 2366 is 797342
Least common multiple can be found by multiplying the highest exponent prime factors of 2359 and 2366. First we will calculate the prime factors of 2359 and 2366.
Prime Factorization of 2359
| 7 | 2359 |
| 337 | 337 |
| 1 |
Prime factors of 2359 are 7,337. Prime factorization of 2359 in exponential form is:
2359 = 71×3371
Prime Factorization of 2366
| 2 | 2366 |
| 7 | 1183 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 2366 are 2, 7,13. Prime factorization of 2366 in exponential form is:
2366 = 21×71×132
Now multiplying the highest exponent prime factors to calculate the LCM of 2359 and 2366.
LCM(2359,2366) = 21×71×132×3371
LCM(2359,2366) = 797342
Factors of 2359
List of positive integer factors of 2359 that divides 2359 without a remainder.
1, 7, 337, 2359
Factors of 2366
List of positive integer factors of 2366 that divides 2366 without a remainder.
1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366
Least Common Multiple of 2359 and 2366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2359 and 2366, than apply into the LCM equation.
GCF(2359,2366) = 7
LCM(2359,2366) = ( 2359 × 2366) / 7
LCM(2359,2366) = 5581394 / 7
LCM(2359,2366) = 797342
Properties of LCM 2359 and 2366
(i) The LCM of 2366 and 2359 is associative
LCM of 2359 and 2366 = LCM of 2366 and 2359
Related Least Common Multiples of 2359
Related Least Common Multiples of 2366
Frequently Asked Questions on LCM of 2359 and 2366
1. What is the LCM of 2359 and 2366?
Answer: LCM of 2359 and 2366 is 797342.
2. What are the Factors of 2359?
Answer: Factors of 2359 are 1, 7, 337, 2359. There are 4 integers that are factors of 2359. The greatest factor of 2359 is 2359.
3. What are the Factors of 2366?
Answer: Factors of 2366 are 1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366. There are 12 integers that are factors of 2366. The greatest factor of 2366 is 2366.
4. How to Find the LCM of 2359 and 2366?
Answer:
Least Common Multiple of 2359 and 2366 = 797342
Step 1: Find the prime factorization of 2359
2359 = 7 x 337
Step 2: Find the prime factorization of 2366
2366 = 2 x 7 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 797342 = 2 x 7 x 13 x 13 x 337
Step 4: Therefore, the least common multiple of 2359 and 2366 is 797342.