Least Common Multiple of 7347 and 7355
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7347 and 7355 the smallest integer that is 54037185 that is divisible by both numbers.
Least Common Multiple (LCM) of 7347 and 7355 is 54037185.
LCM(7347,7355) = 54037185
LCM of 7347 and 7355
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7347 and 7355 by Prime method
- Least Common Multiple of 7347 and 7355 with GCF Formula
LCM of 7347 and 7355 is 54037185
Least common multiple can be found by multiplying the highest exponent prime factors of 7347 and 7355. First we will calculate the prime factors of 7347 and 7355.
Prime Factorization of 7347
| 3 | 7347 |
| 31 | 2449 |
| 79 | 79 |
| 1 |
Prime factors of 7347 are 3, 31,79. Prime factorization of 7347 in exponential form is:
7347 = 31×311×791
Prime Factorization of 7355
| 5 | 7355 |
| 1471 | 1471 |
| 1 |
Prime factors of 7355 are 5,1471. Prime factorization of 7355 in exponential form is:
7355 = 51×14711
Now multiplying the highest exponent prime factors to calculate the LCM of 7347 and 7355.
LCM(7347,7355) = 31×51×311×791×14711
LCM(7347,7355) = 54037185
Factors of 7347
List of positive integer factors of 7347 that divides 7347 without a remainder.
1, 3, 31, 79, 93, 237, 2449, 7347
Factors of 7355
List of positive integer factors of 7355 that divides 7355 without a remainder.
1, 5, 1471, 7355
Least Common Multiple of 7347 and 7355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7347 and 7355, than apply into the LCM equation.
GCF(7347,7355) = 1
LCM(7347,7355) = ( 7347 × 7355) / 1
LCM(7347,7355) = 54037185 / 1
LCM(7347,7355) = 54037185
Properties of LCM 7347 and 7355
(i) The LCM of 7355 and 7347 is associative
LCM of 7347 and 7355 = LCM of 7355 and 7347
Related Least Common Multiples of 7347
Related Least Common Multiples of 7355
Frequently Asked Questions on LCM of 7347 and 7355
1. What is the LCM of 7347 and 7355?
Answer: LCM of 7347 and 7355 is 54037185.
2. What are the Factors of 7347?
Answer: Factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347. There are 8 integers that are factors of 7347. The greatest factor of 7347 is 7347.
3. What are the Factors of 7355?
Answer: Factors of 7355 are 1, 5, 1471, 7355. There are 4 integers that are factors of 7355. The greatest factor of 7355 is 7355.
4. How to Find the LCM of 7347 and 7355?
Answer:
Least Common Multiple of 7347 and 7355 = 54037185
Step 1: Find the prime factorization of 7347
7347 = 3 x 31 x 79
Step 2: Find the prime factorization of 7355
7355 = 5 x 1471
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54037185 = 3 x 5 x 31 x 79 x 1471
Step 4: Therefore, the least common multiple of 7347 and 7355 is 54037185.