Least Common Multiple of 243 and 247
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 247 the smallest integer that is 60021 that is divisible by both numbers.
Least Common Multiple (LCM) of 243 and 247 is 60021.
LCM(243,247) = 60021
LCM of 243 and 247
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 243 and 247 by Prime method
- Least Common Multiple of 243 and 247 with GCF Formula
LCM of 243 and 247 is 60021
Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 247. First we will calculate the prime factors of 243 and 247.
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 247
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:
247 = 131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 243 and 247.
LCM(243,247) = 35×131×191
LCM(243,247) = 60021
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Least Common Multiple of 243 and 247 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 247, than apply into the LCM equation.
GCF(243,247) = 1
LCM(243,247) = ( 243 × 247) / 1
LCM(243,247) = 60021 / 1
LCM(243,247) = 60021
Properties of LCM 243 and 247
(i) The LCM of 247 and 243 is associative
LCM of 243 and 247 = LCM of 247 and 243
Related Least Common Multiples of 243
Related Least Common Multiples of 247
Frequently Asked Questions on LCM of 243 and 247
1. What is the LCM of 243 and 247?
Answer: LCM of 243 and 247 is 60021.
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 247?
Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.
4. How to Find the LCM of 243 and 247?
Answer:
Least Common Multiple of 243 and 247 = 60021
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 247
247 = 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60021 = 3 x 3 x 3 x 3 x 3 x 13 x 19
Step 4: Therefore, the least common multiple of 243 and 247 is 60021.
