Least Common Multiple of 7361 and 7367
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7361 and 7367 the smallest integer that is 54228487 that is divisible by both numbers.
Least Common Multiple (LCM) of 7361 and 7367 is 54228487.
LCM(7361,7367) = 54228487
LCM of 7361 and 7367
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7361 and 7367 by Prime method
- Least Common Multiple of 7361 and 7367 with GCF Formula
LCM of 7361 and 7367 is 54228487
Least common multiple can be found by multiplying the highest exponent prime factors of 7361 and 7367. First we will calculate the prime factors of 7361 and 7367.
Prime Factorization of 7361
| 17 | 7361 |
| 433 | 433 |
| 1 |
Prime factors of 7361 are 17,433. Prime factorization of 7361 in exponential form is:
7361 = 171×4331
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7361 and 7367.
LCM(7361,7367) = 171×531×1391×4331
LCM(7361,7367) = 54228487
Factors of 7361
List of positive integer factors of 7361 that divides 7361 without a remainder.
1, 17, 433, 7361
Factors of 7367
List of positive integer factors of 7367 that divides 7367 without a remainder.
1, 53, 139, 7367
Least Common Multiple of 7361 and 7367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7361 and 7367, than apply into the LCM equation.
GCF(7361,7367) = 1
LCM(7361,7367) = ( 7361 × 7367) / 1
LCM(7361,7367) = 54228487 / 1
LCM(7361,7367) = 54228487
Properties of LCM 7361 and 7367
(i) The LCM of 7367 and 7361 is associative
LCM of 7361 and 7367 = LCM of 7367 and 7361
Related Least Common Multiples of 7361
Related Least Common Multiples of 7367
Frequently Asked Questions on LCM of 7361 and 7367
1. What is the LCM of 7361 and 7367?
Answer: LCM of 7361 and 7367 is 54228487.
2. What are the Factors of 7361?
Answer: Factors of 7361 are 1, 17, 433, 7361. There are 4 integers that are factors of 7361. The greatest factor of 7361 is 7361.
3. 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.
4. How to Find the LCM of 7361 and 7367?
Answer:
Least Common Multiple of 7361 and 7367 = 54228487
Step 1: Find the prime factorization of 7361
7361 = 17 x 433
Step 2: Find the prime factorization of 7367
7367 = 53 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54228487 = 17 x 53 x 139 x 433
Step 4: Therefore, the least common multiple of 7361 and 7367 is 54228487.