Least Common Multiple of 36323 and 36329
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36323 and 36329 the smallest integer that is 1319578267 that is divisible by both numbers.
Least Common Multiple (LCM) of 36323 and 36329 is 1319578267.
LCM(36323,36329) = 1319578267
LCM of 36323 and 36329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36323 and 36329 by Prime method
- Least Common Multiple of 36323 and 36329 with GCF Formula
LCM of 36323 and 36329 is 1319578267
Least common multiple can be found by multiplying the highest exponent prime factors of 36323 and 36329. First we will calculate the prime factors of 36323 and 36329.
Prime Factorization of 36323
| 7 | 36323 |
| 5189 | 5189 |
| 1 |
Prime factors of 36323 are 7,5189. Prime factorization of 36323 in exponential form is:
36323 = 71×51891
Prime Factorization of 36329
| 17 | 36329 |
| 2137 | 2137 |
| 1 |
Prime factors of 36329 are 17,2137. Prime factorization of 36329 in exponential form is:
36329 = 171×21371
Now multiplying the highest exponent prime factors to calculate the LCM of 36323 and 36329.
LCM(36323,36329) = 71×171×21371×51891
LCM(36323,36329) = 1319578267
Factors of 36323
List of positive integer factors of 36323 that divides 36323 without a remainder.
1, 7, 5189, 36323
Factors of 36329
List of positive integer factors of 36329 that divides 36329 without a remainder.
1, 17, 2137, 36329
Least Common Multiple of 36323 and 36329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36323 and 36329, than apply into the LCM equation.
GCF(36323,36329) = 1
LCM(36323,36329) = ( 36323 × 36329) / 1
LCM(36323,36329) = 1319578267 / 1
LCM(36323,36329) = 1319578267
Properties of LCM 36323 and 36329
(i) The LCM of 36329 and 36323 is associative
LCM of 36323 and 36329 = LCM of 36329 and 36323
Related Least Common Multiples of 36323
Related Least Common Multiples of 36329
Frequently Asked Questions on LCM of 36323 and 36329
1. What is the LCM of 36323 and 36329?
Answer: LCM of 36323 and 36329 is 1319578267.
2. What are the Factors of 36323?
Answer: Factors of 36323 are 1, 7, 5189, 36323. There are 4 integers that are factors of 36323. The greatest factor of 36323 is 36323.
3. What are the Factors of 36329?
Answer: Factors of 36329 are 1, 17, 2137, 36329. There are 4 integers that are factors of 36329. The greatest factor of 36329 is 36329.
4. How to Find the LCM of 36323 and 36329?
Answer:
Least Common Multiple of 36323 and 36329 = 1319578267
Step 1: Find the prime factorization of 36323
36323 = 7 x 5189
Step 2: Find the prime factorization of 36329
36329 = 17 x 2137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1319578267 = 7 x 17 x 2137 x 5189
Step 4: Therefore, the least common multiple of 36323 and 36329 is 1319578267.