Least Common Multiple of 7321 and 7326
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7321 and 7326 the smallest integer that is 53633646 that is divisible by both numbers.
Least Common Multiple (LCM) of 7321 and 7326 is 53633646.
LCM(7321,7326) = 53633646
LCM of 7321 and 7326
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7321 and 7326 by Prime method
- Least Common Multiple of 7321 and 7326 with GCF Formula
LCM of 7321 and 7326 is 53633646
Least common multiple can be found by multiplying the highest exponent prime factors of 7321 and 7326. First we will calculate the prime factors of 7321 and 7326.
Prime Factorization of 7321
| 7321 | 7321 |
| 1 |
Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:
7321 = 73211
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7321 and 7326.
LCM(7321,7326) = 21×32×111×371×73211
LCM(7321,7326) = 53633646
Factors of 7321
List of positive integer factors of 7321 that divides 7321 without a remainder.
1, 7321
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
Least Common Multiple of 7321 and 7326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7321 and 7326, than apply into the LCM equation.
GCF(7321,7326) = 1
LCM(7321,7326) = ( 7321 × 7326) / 1
LCM(7321,7326) = 53633646 / 1
LCM(7321,7326) = 53633646
Properties of LCM 7321 and 7326
(i) The LCM of 7326 and 7321 is associative
LCM of 7321 and 7326 = LCM of 7326 and 7321
Related Least Common Multiples of 7321
Related Least Common Multiples of 7326
Frequently Asked Questions on LCM of 7321 and 7326
1. What is the LCM of 7321 and 7326?
Answer: LCM of 7321 and 7326 is 53633646.
2. What are the Factors of 7321?
Answer: Factors of 7321 are 1, 7321. There are 2 integers that are factors of 7321. The greatest factor of 7321 is 7321.
3. 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.
4. How to Find the LCM of 7321 and 7326?
Answer:
Least Common Multiple of 7321 and 7326 = 53633646
Step 1: Find the prime factorization of 7321
7321 = 7321
Step 2: Find the prime factorization of 7326
7326 = 2 x 3 x 3 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53633646 = 2 x 3 x 3 x 11 x 37 x 7321
Step 4: Therefore, the least common multiple of 7321 and 7326 is 53633646.