Least Common Multiple of 7347 and 7351
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 7351 the smallest integer that is 54007797 that is divisible by both numbers.
Least Common Multiple (LCM) of 7347 and 7351 is 54007797.
LCM(7347,7351) = 54007797
LCM of 7347 and 7351
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7347 and 7351 by Prime method
- Least Common Multiple of 7347 and 7351 with GCF Formula
LCM of 7347 and 7351 is 54007797
Least common multiple can be found by multiplying the highest exponent prime factors of 7347 and 7351. First we will calculate the prime factors of 7347 and 7351.
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 7351
| 7351 | 7351 |
| 1 |
Prime factors of 7351 are 7351. Prime factorization of 7351 in exponential form is:
7351 = 73511
Now multiplying the highest exponent prime factors to calculate the LCM of 7347 and 7351.
LCM(7347,7351) = 31×311×791×73511
LCM(7347,7351) = 54007797
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 7351
List of positive integer factors of 7351 that divides 7351 without a remainder.
1, 7351
Least Common Multiple of 7347 and 7351 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 7351, than apply into the LCM equation.
GCF(7347,7351) = 1
LCM(7347,7351) = ( 7347 × 7351) / 1
LCM(7347,7351) = 54007797 / 1
LCM(7347,7351) = 54007797
Properties of LCM 7347 and 7351
(i) The LCM of 7351 and 7347 is associative
LCM of 7347 and 7351 = LCM of 7351 and 7347
Related Least Common Multiples of 7347
Related Least Common Multiples of 7351
Frequently Asked Questions on LCM of 7347 and 7351
1. What is the LCM of 7347 and 7351?
Answer: LCM of 7347 and 7351 is 54007797.
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 7351?
Answer: Factors of 7351 are 1, 7351. There are 2 integers that are factors of 7351. The greatest factor of 7351 is 7351.
4. How to Find the LCM of 7347 and 7351?
Answer:
Least Common Multiple of 7347 and 7351 = 54007797
Step 1: Find the prime factorization of 7347
7347 = 3 x 31 x 79
Step 2: Find the prime factorization of 7351
7351 = 7351
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54007797 = 3 x 31 x 79 x 7351
Step 4: Therefore, the least common multiple of 7347 and 7351 is 54007797.