Least Common Multiple of 7367 and 7371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7367 and 7371 the smallest integer that is 54302157 that is divisible by both numbers.
Least Common Multiple (LCM) of 7367 and 7371 is 54302157.
LCM(7367,7371) = 54302157
LCM of 7367 and 7371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7367 and 7371 by Prime method
- Least Common Multiple of 7367 and 7371 with GCF Formula
LCM of 7367 and 7371 is 54302157
Least common multiple can be found by multiplying the highest exponent prime factors of 7367 and 7371. First we will calculate the prime factors of 7367 and 7371.
Prime Factorization of 7367
| 53 | 7367 |
| 139 | 139 |
| 1 |
Prime factors of 7367 are 53,139. Prime factorization of 7367 in exponential form is:
7367 = 531×1391
Prime Factorization of 7371
| 3 | 7371 |
| 3 | 2457 |
| 3 | 819 |
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 7371 are 3, 7,13. Prime factorization of 7371 in exponential form is:
7371 = 34×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 7367 and 7371.
LCM(7367,7371) = 34×71×131×531×1391
LCM(7367,7371) = 54302157
Factors of 7367
List of positive integer factors of 7367 that divides 7367 without a remainder.
1, 53, 139, 7367
Factors of 7371
List of positive integer factors of 7371 that divides 7371 without a remainder.
1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371
Least Common Multiple of 7367 and 7371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7367 and 7371, than apply into the LCM equation.
GCF(7367,7371) = 1
LCM(7367,7371) = ( 7367 × 7371) / 1
LCM(7367,7371) = 54302157 / 1
LCM(7367,7371) = 54302157
Properties of LCM 7367 and 7371
(i) The LCM of 7371 and 7367 is associative
LCM of 7367 and 7371 = LCM of 7371 and 7367
Related Least Common Multiples of 7367
Related Least Common Multiples of 7371
Frequently Asked Questions on LCM of 7367 and 7371
1. What is the LCM of 7367 and 7371?
Answer: LCM of 7367 and 7371 is 54302157.
2. What are the Factors of 7367?
Answer: Factors of 7367 are 1, 53, 139, 7367. There are 4 integers that are factors of 7367. The greatest factor of 7367 is 7367.
3. What are the Factors of 7371?
Answer: Factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371. There are 20 integers that are factors of 7371. The greatest factor of 7371 is 7371.
4. How to Find the LCM of 7367 and 7371?
Answer:
Least Common Multiple of 7367 and 7371 = 54302157
Step 1: Find the prime factorization of 7367
7367 = 53 x 139
Step 2: Find the prime factorization of 7371
7371 = 3 x 3 x 3 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54302157 = 3 x 3 x 3 x 3 x 7 x 13 x 53 x 139
Step 4: Therefore, the least common multiple of 7367 and 7371 is 54302157.