Least Common Multiple of 36323 and 36327
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 36327 the smallest integer that is 1319505621 that is divisible by both numbers.
Least Common Multiple (LCM) of 36323 and 36327 is 1319505621.
LCM(36323,36327) = 1319505621
LCM of 36323 and 36327
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36323 and 36327 by Prime method
- Least Common Multiple of 36323 and 36327 with GCF Formula
LCM of 36323 and 36327 is 1319505621
Least common multiple can be found by multiplying the highest exponent prime factors of 36323 and 36327. First we will calculate the prime factors of 36323 and 36327.
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 36327
| 3 | 36327 |
| 12109 | 12109 |
| 1 |
Prime factors of 36327 are 3,12109. Prime factorization of 36327 in exponential form is:
36327 = 31×121091
Now multiplying the highest exponent prime factors to calculate the LCM of 36323 and 36327.
LCM(36323,36327) = 31×71×51891×121091
LCM(36323,36327) = 1319505621
Factors of 36323
List of positive integer factors of 36323 that divides 36323 without a remainder.
1, 7, 5189, 36323
Factors of 36327
List of positive integer factors of 36327 that divides 36327 without a remainder.
1, 3, 12109, 36327
Least Common Multiple of 36323 and 36327 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 36327, than apply into the LCM equation.
GCF(36323,36327) = 1
LCM(36323,36327) = ( 36323 × 36327) / 1
LCM(36323,36327) = 1319505621 / 1
LCM(36323,36327) = 1319505621
Properties of LCM 36323 and 36327
(i) The LCM of 36327 and 36323 is associative
LCM of 36323 and 36327 = LCM of 36327 and 36323
Related Least Common Multiples of 36323
Related Least Common Multiples of 36327
Frequently Asked Questions on LCM of 36323 and 36327
1. What is the LCM of 36323 and 36327?
Answer: LCM of 36323 and 36327 is 1319505621.
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 36327?
Answer: Factors of 36327 are 1, 3, 12109, 36327. There are 4 integers that are factors of 36327. The greatest factor of 36327 is 36327.
4. How to Find the LCM of 36323 and 36327?
Answer:
Least Common Multiple of 36323 and 36327 = 1319505621
Step 1: Find the prime factorization of 36323
36323 = 7 x 5189
Step 2: Find the prime factorization of 36327
36327 = 3 x 12109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1319505621 = 3 x 7 x 5189 x 12109
Step 4: Therefore, the least common multiple of 36323 and 36327 is 1319505621.