Least Common Multiple of 7383 and 7391
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7383 and 7391 the smallest integer that is 54567753 that is divisible by both numbers.
Least Common Multiple (LCM) of 7383 and 7391 is 54567753.
LCM(7383,7391) = 54567753
LCM of 7383 and 7391
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7383 and 7391 by Prime method
- Least Common Multiple of 7383 and 7391 with GCF Formula
LCM of 7383 and 7391 is 54567753
Least common multiple can be found by multiplying the highest exponent prime factors of 7383 and 7391. First we will calculate the prime factors of 7383 and 7391.
Prime Factorization of 7383
| 3 | 7383 |
| 23 | 2461 |
| 107 | 107 |
| 1 |
Prime factors of 7383 are 3, 23,107. Prime factorization of 7383 in exponential form is:
7383 = 31×231×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7383 and 7391.
LCM(7383,7391) = 31×191×231×1071×3891
LCM(7383,7391) = 54567753
Factors of 7383
List of positive integer factors of 7383 that divides 7383 without a remainder.
1, 3, 23, 69, 107, 321, 2461, 7383
Factors of 7391
List of positive integer factors of 7391 that divides 7391 without a remainder.
1, 19, 389, 7391
Least Common Multiple of 7383 and 7391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7383 and 7391, than apply into the LCM equation.
GCF(7383,7391) = 1
LCM(7383,7391) = ( 7383 × 7391) / 1
LCM(7383,7391) = 54567753 / 1
LCM(7383,7391) = 54567753
Properties of LCM 7383 and 7391
(i) The LCM of 7391 and 7383 is associative
LCM of 7383 and 7391 = LCM of 7391 and 7383
Related Least Common Multiples of 7383
Related Least Common Multiples of 7391
Frequently Asked Questions on LCM of 7383 and 7391
1. What is the LCM of 7383 and 7391?
Answer: LCM of 7383 and 7391 is 54567753.
2. What are the Factors of 7383?
Answer: Factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383. There are 8 integers that are factors of 7383. The greatest factor of 7383 is 7383.
3. 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.
4. How to Find the LCM of 7383 and 7391?
Answer:
Least Common Multiple of 7383 and 7391 = 54567753
Step 1: Find the prime factorization of 7383
7383 = 3 x 23 x 107
Step 2: Find the prime factorization of 7391
7391 = 19 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54567753 = 3 x 19 x 23 x 107 x 389
Step 4: Therefore, the least common multiple of 7383 and 7391 is 54567753.