Least Common Multiple of 243 and 245
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 245 the smallest integer that is 59535 that is divisible by both numbers.
Least Common Multiple (LCM) of 243 and 245 is 59535.
LCM(243,245) = 59535
LCM of 243 and 245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 243 and 245 by Prime method
- Least Common Multiple of 243 and 245 with GCF Formula
LCM of 243 and 245 is 59535
Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 245. First we will calculate the prime factors of 243 and 245.
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 245
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:
245 = 51×72
Now multiplying the highest exponent prime factors to calculate the LCM of 243 and 245.
LCM(243,245) = 35×51×72
LCM(243,245) = 59535
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Least Common Multiple of 243 and 245 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 245, than apply into the LCM equation.
GCF(243,245) = 1
LCM(243,245) = ( 243 × 245) / 1
LCM(243,245) = 59535 / 1
LCM(243,245) = 59535
Properties of LCM 243 and 245
(i) The LCM of 245 and 243 is associative
LCM of 243 and 245 = LCM of 245 and 243
Related Least Common Multiples of 243
Related Least Common Multiples of 245
Frequently Asked Questions on LCM of 243 and 245
1. What is the LCM of 243 and 245?
Answer: LCM of 243 and 245 is 59535.
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 245?
Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.
4. How to Find the LCM of 243 and 245?
Answer:
Least Common Multiple of 243 and 245 = 59535
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 245
245 = 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59535 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7
Step 4: Therefore, the least common multiple of 243 and 245 is 59535.
