Least Common Multiple of 265 and 273
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 265 and 273 the smallest integer that is 72345 that is divisible by both numbers.
Least Common Multiple (LCM) of 265 and 273 is 72345.
LCM(265,273) = 72345
LCM of 265 and 273
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 265 and 273 by Prime method
- Least Common Multiple of 265 and 273 with GCF Formula
LCM of 265 and 273 is 72345
Least common multiple can be found by multiplying the highest exponent prime factors of 265 and 273. First we will calculate the prime factors of 265 and 273.
Prime Factorization of 265
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:
265 = 51×531
Prime Factorization of 273
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 273 are 3, 7,13. Prime factorization of 273 in exponential form is:
273 = 31×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 265 and 273.
LCM(265,273) = 31×51×71×131×531
LCM(265,273) = 72345
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Least Common Multiple of 265 and 273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 265 and 273, than apply into the LCM equation.
GCF(265,273) = 1
LCM(265,273) = ( 265 × 273) / 1
LCM(265,273) = 72345 / 1
LCM(265,273) = 72345
Properties of LCM 265 and 273
(i) The LCM of 273 and 265 is associative
LCM of 265 and 273 = LCM of 273 and 265
Related Least Common Multiples of 265
Related Least Common Multiples of 273
Frequently Asked Questions on LCM of 265 and 273
1. What is the LCM of 265 and 273?
Answer: LCM of 265 and 273 is 72345.
2. What are the Factors of 265?
Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.
3. What are the Factors of 273?
Answer: Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. There are 8 integers that are factors of 273. The greatest factor of 273 is 273.
4. How to Find the LCM of 265 and 273?
Answer:
Least Common Multiple of 265 and 273 = 72345
Step 1: Find the prime factorization of 265
265 = 5 x 53
Step 2: Find the prime factorization of 273
273 = 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72345 = 3 x 5 x 7 x 13 x 53
Step 4: Therefore, the least common multiple of 265 and 273 is 72345.
