Least Common Multiple of 7391 and 7397
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7391 and 7397 the smallest integer that is 54671227 that is divisible by both numbers.
Least Common Multiple (LCM) of 7391 and 7397 is 54671227.
LCM(7391,7397) = 54671227
LCM of 7391 and 7397
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7391 and 7397 by Prime method
- Least Common Multiple of 7391 and 7397 with GCF Formula
LCM of 7391 and 7397 is 54671227
Least common multiple can be found by multiplying the highest exponent prime factors of 7391 and 7397. First we will calculate the prime factors of 7391 and 7397.
Prime Factorization of 7391
| 19 | 7391 |
| 389 | 389 |
| 1 |
Prime factors of 7391 are 19,389. Prime factorization of 7391 in exponential form is:
7391 = 191×3891
Prime Factorization of 7397
| 13 | 7397 |
| 569 | 569 |
| 1 |
Prime factors of 7397 are 13,569. Prime factorization of 7397 in exponential form is:
7397 = 131×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 7391 and 7397.
LCM(7391,7397) = 131×191×3891×5691
LCM(7391,7397) = 54671227
Factors of 7391
List of positive integer factors of 7391 that divides 7391 without a remainder.
1, 19, 389, 7391
Factors of 7397
List of positive integer factors of 7397 that divides 7397 without a remainder.
1, 13, 569, 7397
Least Common Multiple of 7391 and 7397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7391 and 7397, than apply into the LCM equation.
GCF(7391,7397) = 1
LCM(7391,7397) = ( 7391 × 7397) / 1
LCM(7391,7397) = 54671227 / 1
LCM(7391,7397) = 54671227
Properties of LCM 7391 and 7397
(i) The LCM of 7397 and 7391 is associative
LCM of 7391 and 7397 = LCM of 7397 and 7391
Related Least Common Multiples of 7391
Related Least Common Multiples of 7397
Frequently Asked Questions on LCM of 7391 and 7397
1. What is the LCM of 7391 and 7397?
Answer: LCM of 7391 and 7397 is 54671227.
2. What are the Factors of 7391?
Answer: Factors of 7391 are 1, 19, 389, 7391. There are 4 integers that are factors of 7391. The greatest factor of 7391 is 7391.
3. What are the Factors of 7397?
Answer: Factors of 7397 are 1, 13, 569, 7397. There are 4 integers that are factors of 7397. The greatest factor of 7397 is 7397.
4. How to Find the LCM of 7391 and 7397?
Answer:
Least Common Multiple of 7391 and 7397 = 54671227
Step 1: Find the prime factorization of 7391
7391 = 19 x 389
Step 2: Find the prime factorization of 7397
7397 = 13 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54671227 = 13 x 19 x 389 x 569
Step 4: Therefore, the least common multiple of 7391 and 7397 is 54671227.