Least Common Multiple of 7359 and 7363
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7359 and 7363 the smallest integer that is 54184317 that is divisible by both numbers.
Least Common Multiple (LCM) of 7359 and 7363 is 54184317.
LCM(7359,7363) = 54184317
LCM of 7359 and 7363
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7359 and 7363 by Prime method
- Least Common Multiple of 7359 and 7363 with GCF Formula
LCM of 7359 and 7363 is 54184317
Least common multiple can be found by multiplying the highest exponent prime factors of 7359 and 7363. First we will calculate the prime factors of 7359 and 7363.
Prime Factorization of 7359
| 3 | 7359 |
| 11 | 2453 |
| 223 | 223 |
| 1 |
Prime factors of 7359 are 3, 11,223. Prime factorization of 7359 in exponential form is:
7359 = 31×111×2231
Prime Factorization of 7363
| 37 | 7363 |
| 199 | 199 |
| 1 |
Prime factors of 7363 are 37,199. Prime factorization of 7363 in exponential form is:
7363 = 371×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 7359 and 7363.
LCM(7359,7363) = 31×111×371×1991×2231
LCM(7359,7363) = 54184317
Factors of 7359
List of positive integer factors of 7359 that divides 7359 without a remainder.
1, 3, 11, 33, 223, 669, 2453, 7359
Factors of 7363
List of positive integer factors of 7363 that divides 7363 without a remainder.
1, 37, 199, 7363
Least Common Multiple of 7359 and 7363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7359 and 7363, than apply into the LCM equation.
GCF(7359,7363) = 1
LCM(7359,7363) = ( 7359 × 7363) / 1
LCM(7359,7363) = 54184317 / 1
LCM(7359,7363) = 54184317
Properties of LCM 7359 and 7363
(i) The LCM of 7363 and 7359 is associative
LCM of 7359 and 7363 = LCM of 7363 and 7359
Related Least Common Multiples of 7359
Related Least Common Multiples of 7363
Frequently Asked Questions on LCM of 7359 and 7363
1. What is the LCM of 7359 and 7363?
Answer: LCM of 7359 and 7363 is 54184317.
2. What are the Factors of 7359?
Answer: Factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359. There are 8 integers that are factors of 7359. The greatest factor of 7359 is 7359.
3. What are the Factors of 7363?
Answer: Factors of 7363 are 1, 37, 199, 7363. There are 4 integers that are factors of 7363. The greatest factor of 7363 is 7363.
4. How to Find the LCM of 7359 and 7363?
Answer:
Least Common Multiple of 7359 and 7363 = 54184317
Step 1: Find the prime factorization of 7359
7359 = 3 x 11 x 223
Step 2: Find the prime factorization of 7363
7363 = 37 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54184317 = 3 x 11 x 37 x 199 x 223
Step 4: Therefore, the least common multiple of 7359 and 7363 is 54184317.