Least Common Multiple of 23359 and 23367
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 23359 and 23367 the smallest integer that is 545829753 that is divisible by both numbers.
Least Common Multiple (LCM) of 23359 and 23367 is 545829753.
LCM(23359,23367) = 545829753
LCM of 23359 and 23367
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 23359 and 23367 by Prime method
- Least Common Multiple of 23359 and 23367 with GCF Formula
LCM of 23359 and 23367 is 545829753
Least common multiple can be found by multiplying the highest exponent prime factors of 23359 and 23367. First we will calculate the prime factors of 23359 and 23367.
Prime Factorization of 23359
| 7 | 23359 |
| 47 | 3337 |
| 71 | 71 |
| 1 |
Prime factors of 23359 are 7, 47,71. Prime factorization of 23359 in exponential form is:
23359 = 71×471×711
Prime Factorization of 23367
| 3 | 23367 |
| 7789 | 7789 |
| 1 |
Prime factors of 23367 are 3,7789. Prime factorization of 23367 in exponential form is:
23367 = 31×77891
Now multiplying the highest exponent prime factors to calculate the LCM of 23359 and 23367.
LCM(23359,23367) = 31×71×471×711×77891
LCM(23359,23367) = 545829753
Factors of 23359
List of positive integer factors of 23359 that divides 23359 without a remainder.
1, 7, 47, 71, 329, 497, 3337, 23359
Factors of 23367
List of positive integer factors of 23367 that divides 23367 without a remainder.
1, 3, 7789, 23367
Least Common Multiple of 23359 and 23367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23359 and 23367, than apply into the LCM equation.
GCF(23359,23367) = 1
LCM(23359,23367) = ( 23359 × 23367) / 1
LCM(23359,23367) = 545829753 / 1
LCM(23359,23367) = 545829753
Properties of LCM 23359 and 23367
(i) The LCM of 23367 and 23359 is associative
LCM of 23359 and 23367 = LCM of 23367 and 23359
Related Least Common Multiples of 23359
Related Least Common Multiples of 23367
Frequently Asked Questions on LCM of 23359 and 23367
1. What is the LCM of 23359 and 23367?
Answer: LCM of 23359 and 23367 is 545829753.
2. What are the Factors of 23359?
Answer: Factors of 23359 are 1, 7, 47, 71, 329, 497, 3337, 23359. There are 8 integers that are factors of 23359. The greatest factor of 23359 is 23359.
3. What are the Factors of 23367?
Answer: Factors of 23367 are 1, 3, 7789, 23367. There are 4 integers that are factors of 23367. The greatest factor of 23367 is 23367.
4. How to Find the LCM of 23359 and 23367?
Answer:
Least Common Multiple of 23359 and 23367 = 545829753
Step 1: Find the prime factorization of 23359
23359 = 7 x 47 x 71
Step 2: Find the prime factorization of 23367
23367 = 3 x 7789
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 545829753 = 3 x 7 x 47 x 71 x 7789
Step 4: Therefore, the least common multiple of 23359 and 23367 is 545829753.