Least Common Multiple of 7381 and 7387
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7381 and 7387 the smallest integer that is 54523447 that is divisible by both numbers.
Least Common Multiple (LCM) of 7381 and 7387 is 54523447.
LCM(7381,7387) = 54523447
LCM of 7381 and 7387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7381 and 7387 by Prime method
- Least Common Multiple of 7381 and 7387 with GCF Formula
LCM of 7381 and 7387 is 54523447
Least common multiple can be found by multiplying the highest exponent prime factors of 7381 and 7387. First we will calculate the prime factors of 7381 and 7387.
Prime Factorization of 7381
| 11 | 7381 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:
7381 = 112×611
Prime Factorization of 7387
| 83 | 7387 |
| 89 | 89 |
| 1 |
Prime factors of 7387 are 83,89. Prime factorization of 7387 in exponential form is:
7387 = 831×891
Now multiplying the highest exponent prime factors to calculate the LCM of 7381 and 7387.
LCM(7381,7387) = 112×611×831×891
LCM(7381,7387) = 54523447
Factors of 7381
List of positive integer factors of 7381 that divides 7381 without a remainder.
1, 11, 61, 121, 671, 7381
Factors of 7387
List of positive integer factors of 7387 that divides 7387 without a remainder.
1, 83, 89, 7387
Least Common Multiple of 7381 and 7387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7381 and 7387, than apply into the LCM equation.
GCF(7381,7387) = 1
LCM(7381,7387) = ( 7381 × 7387) / 1
LCM(7381,7387) = 54523447 / 1
LCM(7381,7387) = 54523447
Properties of LCM 7381 and 7387
(i) The LCM of 7387 and 7381 is associative
LCM of 7381 and 7387 = LCM of 7387 and 7381
Related Least Common Multiples of 7381
Related Least Common Multiples of 7387
Frequently Asked Questions on LCM of 7381 and 7387
1. What is the LCM of 7381 and 7387?
Answer: LCM of 7381 and 7387 is 54523447.
2. What are the Factors of 7381?
Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.
3. What are the Factors of 7387?
Answer: Factors of 7387 are 1, 83, 89, 7387. There are 4 integers that are factors of 7387. The greatest factor of 7387 is 7387.
4. How to Find the LCM of 7381 and 7387?
Answer:
Least Common Multiple of 7381 and 7387 = 54523447
Step 1: Find the prime factorization of 7381
7381 = 11 x 11 x 61
Step 2: Find the prime factorization of 7387
7387 = 83 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54523447 = 11 x 11 x 61 x 83 x 89
Step 4: Therefore, the least common multiple of 7381 and 7387 is 54523447.