Least Common Multiple of 7397 and 7403
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7397 and 7403 the smallest integer that is 54759991 that is divisible by both numbers.
Least Common Multiple (LCM) of 7397 and 7403 is 54759991.
LCM(7397,7403) = 54759991
LCM of 7397 and 7403
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7397 and 7403 by Prime method
- Least Common Multiple of 7397 and 7403 with GCF Formula
LCM of 7397 and 7403 is 54759991
Least common multiple can be found by multiplying the highest exponent prime factors of 7397 and 7403. First we will calculate the prime factors of 7397 and 7403.
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
Prime Factorization of 7403
| 11 | 7403 |
| 673 | 673 |
| 1 |
Prime factors of 7403 are 11,673. Prime factorization of 7403 in exponential form is:
7403 = 111×6731
Now multiplying the highest exponent prime factors to calculate the LCM of 7397 and 7403.
LCM(7397,7403) = 111×131×5691×6731
LCM(7397,7403) = 54759991
Factors of 7397
List of positive integer factors of 7397 that divides 7397 without a remainder.
1, 13, 569, 7397
Factors of 7403
List of positive integer factors of 7403 that divides 7403 without a remainder.
1, 11, 673, 7403
Least Common Multiple of 7397 and 7403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7397 and 7403, than apply into the LCM equation.
GCF(7397,7403) = 1
LCM(7397,7403) = ( 7397 × 7403) / 1
LCM(7397,7403) = 54759991 / 1
LCM(7397,7403) = 54759991
Properties of LCM 7397 and 7403
(i) The LCM of 7403 and 7397 is associative
LCM of 7397 and 7403 = LCM of 7403 and 7397
Related Least Common Multiples of 7397
Related Least Common Multiples of 7403
Frequently Asked Questions on LCM of 7397 and 7403
1. What is the LCM of 7397 and 7403?
Answer: LCM of 7397 and 7403 is 54759991.
2. 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.
3. What are the Factors of 7403?
Answer: Factors of 7403 are 1, 11, 673, 7403. There are 4 integers that are factors of 7403. The greatest factor of 7403 is 7403.
4. How to Find the LCM of 7397 and 7403?
Answer:
Least Common Multiple of 7397 and 7403 = 54759991
Step 1: Find the prime factorization of 7397
7397 = 13 x 569
Step 2: Find the prime factorization of 7403
7403 = 11 x 673
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54759991 = 11 x 13 x 569 x 673
Step 4: Therefore, the least common multiple of 7397 and 7403 is 54759991.