Least Common Multiple of 7266 and 7273
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7266 and 7273 the smallest integer that is 7549374 that is divisible by both numbers.
Least Common Multiple (LCM) of 7266 and 7273 is 7549374.
LCM(7266,7273) = 7549374
LCM of 7266 and 7273
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7266 and 7273 by Prime method
- Least Common Multiple of 7266 and 7273 with GCF Formula
LCM of 7266 and 7273 is 7549374
Least common multiple can be found by multiplying the highest exponent prime factors of 7266 and 7273. First we will calculate the prime factors of 7266 and 7273.
Prime Factorization of 7266
| 2 | 7266 |
| 3 | 3633 |
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 7266 are 2, 3, 7,173. Prime factorization of 7266 in exponential form is:
7266 = 21×31×71×1731
Prime Factorization of 7273
| 7 | 7273 |
| 1039 | 1039 |
| 1 |
Prime factors of 7273 are 7,1039. Prime factorization of 7273 in exponential form is:
7273 = 71×10391
Now multiplying the highest exponent prime factors to calculate the LCM of 7266 and 7273.
LCM(7266,7273) = 21×31×71×1731×10391
LCM(7266,7273) = 7549374
Factors of 7266
List of positive integer factors of 7266 that divides 7266 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
Factors of 7273
List of positive integer factors of 7273 that divides 7273 without a remainder.
1, 7, 1039, 7273
Least Common Multiple of 7266 and 7273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7266 and 7273, than apply into the LCM equation.
GCF(7266,7273) = 7
LCM(7266,7273) = ( 7266 × 7273) / 7
LCM(7266,7273) = 52845618 / 7
LCM(7266,7273) = 7549374
Properties of LCM 7266 and 7273
(i) The LCM of 7273 and 7266 is associative
LCM of 7266 and 7273 = LCM of 7273 and 7266
Related Least Common Multiples of 7266
Related Least Common Multiples of 7273
Frequently Asked Questions on LCM of 7266 and 7273
1. What is the LCM of 7266 and 7273?
Answer: LCM of 7266 and 7273 is 7549374.
2. What are the Factors of 7266?
Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.
3. What are the Factors of 7273?
Answer: Factors of 7273 are 1, 7, 1039, 7273. There are 4 integers that are factors of 7273. The greatest factor of 7273 is 7273.
4. How to Find the LCM of 7266 and 7273?
Answer:
Least Common Multiple of 7266 and 7273 = 7549374
Step 1: Find the prime factorization of 7266
7266 = 2 x 3 x 7 x 173
Step 2: Find the prime factorization of 7273
7273 = 7 x 1039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7549374 = 2 x 3 x 7 x 173 x 1039
Step 4: Therefore, the least common multiple of 7266 and 7273 is 7549374.