Least Common Multiple of 6266 and 6273
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6266 and 6273 the smallest integer that is 39306618 that is divisible by both numbers.
Least Common Multiple (LCM) of 6266 and 6273 is 39306618.
LCM(6266,6273) = 39306618
LCM of 6266 and 6273
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6266 and 6273 by Prime method
- Least Common Multiple of 6266 and 6273 with GCF Formula
LCM of 6266 and 6273 is 39306618
Least common multiple can be found by multiplying the highest exponent prime factors of 6266 and 6273. First we will calculate the prime factors of 6266 and 6273.
Prime Factorization of 6266
| 2 | 6266 |
| 13 | 3133 |
| 241 | 241 |
| 1 |
Prime factors of 6266 are 2, 13,241. Prime factorization of 6266 in exponential form is:
6266 = 21×131×2411
Prime Factorization of 6273
| 3 | 6273 |
| 3 | 2091 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 6273 are 3, 17,41. Prime factorization of 6273 in exponential form is:
6273 = 32×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 6266 and 6273.
LCM(6266,6273) = 21×32×131×171×411×2411
LCM(6266,6273) = 39306618
Factors of 6266
List of positive integer factors of 6266 that divides 6266 without a remainder.
1, 2, 13, 26, 241, 482, 3133, 6266
Factors of 6273
List of positive integer factors of 6273 that divides 6273 without a remainder.
1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273
Least Common Multiple of 6266 and 6273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6266 and 6273, than apply into the LCM equation.
GCF(6266,6273) = 1
LCM(6266,6273) = ( 6266 × 6273) / 1
LCM(6266,6273) = 39306618 / 1
LCM(6266,6273) = 39306618
Properties of LCM 6266 and 6273
(i) The LCM of 6273 and 6266 is associative
LCM of 6266 and 6273 = LCM of 6273 and 6266
Related Least Common Multiples of 6266
Related Least Common Multiples of 6273
Frequently Asked Questions on LCM of 6266 and 6273
1. What is the LCM of 6266 and 6273?
Answer: LCM of 6266 and 6273 is 39306618.
2. What are the Factors of 6266?
Answer: Factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266. There are 8 integers that are factors of 6266. The greatest factor of 6266 is 6266.
3. What are the Factors of 6273?
Answer: Factors of 6273 are 1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273. There are 12 integers that are factors of 6273. The greatest factor of 6273 is 6273.
4. How to Find the LCM of 6266 and 6273?
Answer:
Least Common Multiple of 6266 and 6273 = 39306618
Step 1: Find the prime factorization of 6266
6266 = 2 x 13 x 241
Step 2: Find the prime factorization of 6273
6273 = 3 x 3 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39306618 = 2 x 3 x 3 x 13 x 17 x 41 x 241
Step 4: Therefore, the least common multiple of 6266 and 6273 is 39306618.