Least Common Multiple of 243 and 249
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 243 and 249 the smallest integer that is 20169 that is divisible by both numbers.
Least Common Multiple (LCM) of 243 and 249 is 20169.
LCM(243,249) = 20169
LCM of 243 and 249
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 243 and 249 by Prime method
- Least Common Multiple of 243 and 249 with GCF Formula
LCM of 243 and 249 is 20169
Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 249. First we will calculate the prime factors of 243 and 249.
Prime Factorization of 243
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:
243 = 35
Prime Factorization of 249
| 3 | 249 |
| 83 | 83 |
| 1 |
Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:
249 = 31×831
Now multiplying the highest exponent prime factors to calculate the LCM of 243 and 249.
LCM(243,249) = 35×831
LCM(243,249) = 20169
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Least Common Multiple of 243 and 249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 243 and 249, than apply into the LCM equation.
GCF(243,249) = 3
LCM(243,249) = ( 243 × 249) / 3
LCM(243,249) = 60507 / 3
LCM(243,249) = 20169
Properties of LCM 243 and 249
(i) The LCM of 249 and 243 is associative
LCM of 243 and 249 = LCM of 249 and 243
Related Least Common Multiples of 243
Related Least Common Multiples of 249
Frequently Asked Questions on LCM of 243 and 249
1. What is the LCM of 243 and 249?
Answer: LCM of 243 and 249 is 20169.
2. What are the Factors of 243?
Answer: Factors of 243 are 1, 3, 9, 27, 81, 243. There are 6 integers that are factors of 243. The greatest factor of 243 is 243.
3. What are the Factors of 249?
Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.
4. How to Find the LCM of 243 and 249?
Answer:
Least Common Multiple of 243 and 249 = 20169
Step 1: Find the prime factorization of 243
243 = 3 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 249
249 = 3 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20169 = 3 x 3 x 3 x 3 x 3 x 83
Step 4: Therefore, the least common multiple of 243 and 249 is 20169.
