Least Common Multiple of 7326 and 7331
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 7331 the smallest integer that is 53706906 that is divisible by both numbers.
Least Common Multiple (LCM) of 7326 and 7331 is 53706906.
LCM(7326,7331) = 53706906
LCM of 7326 and 7331
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7326 and 7331 by Prime method
- Least Common Multiple of 7326 and 7331 with GCF Formula
LCM of 7326 and 7331 is 53706906
Least common multiple can be found by multiplying the highest exponent prime factors of 7326 and 7331. First we will calculate the prime factors of 7326 and 7331.
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 7331
| 7331 | 7331 |
| 1 |
Prime factors of 7331 are 7331. Prime factorization of 7331 in exponential form is:
7331 = 73311
Now multiplying the highest exponent prime factors to calculate the LCM of 7326 and 7331.
LCM(7326,7331) = 21×32×111×371×73311
LCM(7326,7331) = 53706906
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 7331
List of positive integer factors of 7331 that divides 7331 without a remainder.
1, 7331
Least Common Multiple of 7326 and 7331 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 7331, than apply into the LCM equation.
GCF(7326,7331) = 1
LCM(7326,7331) = ( 7326 × 7331) / 1
LCM(7326,7331) = 53706906 / 1
LCM(7326,7331) = 53706906
Properties of LCM 7326 and 7331
(i) The LCM of 7331 and 7326 is associative
LCM of 7326 and 7331 = LCM of 7331 and 7326
Related Least Common Multiples of 7326
Related Least Common Multiples of 7331
Frequently Asked Questions on LCM of 7326 and 7331
1. What is the LCM of 7326 and 7331?
Answer: LCM of 7326 and 7331 is 53706906.
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 7331?
Answer: Factors of 7331 are 1, 7331. There are 2 integers that are factors of 7331. The greatest factor of 7331 is 7331.
4. How to Find the LCM of 7326 and 7331?
Answer:
Least Common Multiple of 7326 and 7331 = 53706906
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 7331
7331 = 7331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53706906 = 2 x 3 x 3 x 11 x 37 x 7331
Step 4: Therefore, the least common multiple of 7326 and 7331 is 53706906.