Least Common Multiple of 7326 and 7327
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7326 and 7327 the smallest integer that is 53677602 that is divisible by both numbers.
Least Common Multiple (LCM) of 7326 and 7327 is 53677602.
LCM(7326,7327) = 53677602
LCM of 7326 and 7327
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7326 and 7327 by Prime method
- Least Common Multiple of 7326 and 7327 with GCF Formula
LCM of 7326 and 7327 is 53677602
Least common multiple can be found by multiplying the highest exponent prime factors of 7326 and 7327. First we will calculate the prime factors of 7326 and 7327.
Prime Factorization of 7326
| 2 | 7326 |
| 3 | 3663 |
| 3 | 1221 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 7326 are 2, 3, 11,37. Prime factorization of 7326 in exponential form is:
7326 = 21×32×111×371
Prime Factorization of 7327
| 17 | 7327 |
| 431 | 431 |
| 1 |
Prime factors of 7327 are 17,431. Prime factorization of 7327 in exponential form is:
7327 = 171×4311
Now multiplying the highest exponent prime factors to calculate the LCM of 7326 and 7327.
LCM(7326,7327) = 21×32×111×171×371×4311
LCM(7326,7327) = 53677602
Factors of 7326
List of positive integer factors of 7326 that divides 7326 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326
Factors of 7327
List of positive integer factors of 7327 that divides 7327 without a remainder.
1, 17, 431, 7327
Least Common Multiple of 7326 and 7327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7326 and 7327, than apply into the LCM equation.
GCF(7326,7327) = 1
LCM(7326,7327) = ( 7326 × 7327) / 1
LCM(7326,7327) = 53677602 / 1
LCM(7326,7327) = 53677602
Properties of LCM 7326 and 7327
(i) The LCM of 7327 and 7326 is associative
LCM of 7326 and 7327 = LCM of 7327 and 7326
Related Least Common Multiples of 7326
Related Least Common Multiples of 7327
Frequently Asked Questions on LCM of 7326 and 7327
1. What is the LCM of 7326 and 7327?
Answer: LCM of 7326 and 7327 is 53677602.
2. What are the Factors of 7326?
Answer: Factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326. There are 24 integers that are factors of 7326. The greatest factor of 7326 is 7326.
3. What are the Factors of 7327?
Answer: Factors of 7327 are 1, 17, 431, 7327. There are 4 integers that are factors of 7327. The greatest factor of 7327 is 7327.
4. How to Find the LCM of 7326 and 7327?
Answer:
Least Common Multiple of 7326 and 7327 = 53677602
Step 1: Find the prime factorization of 7326
7326 = 2 x 3 x 3 x 11 x 37
Step 2: Find the prime factorization of 7327
7327 = 17 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53677602 = 2 x 3 x 3 x 11 x 17 x 37 x 431
Step 4: Therefore, the least common multiple of 7326 and 7327 is 53677602.