Least Common Multiple of 7379 and 7381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7379 and 7381 the smallest integer that is 54464399 that is divisible by both numbers.
Least Common Multiple (LCM) of 7379 and 7381 is 54464399.
LCM(7379,7381) = 54464399
LCM of 7379 and 7381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7379 and 7381 by Prime method
- Least Common Multiple of 7379 and 7381 with GCF Formula
LCM of 7379 and 7381 is 54464399
Least common multiple can be found by multiplying the highest exponent prime factors of 7379 and 7381. First we will calculate the prime factors of 7379 and 7381.
Prime Factorization of 7379
| 47 | 7379 |
| 157 | 157 |
| 1 |
Prime factors of 7379 are 47,157. Prime factorization of 7379 in exponential form is:
7379 = 471×1571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7379 and 7381.
LCM(7379,7381) = 112×471×611×1571
LCM(7379,7381) = 54464399
Factors of 7379
List of positive integer factors of 7379 that divides 7379 without a remainder.
1, 47, 157, 7379
Factors of 7381
List of positive integer factors of 7381 that divides 7381 without a remainder.
1, 11, 61, 121, 671, 7381
Least Common Multiple of 7379 and 7381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7379 and 7381, than apply into the LCM equation.
GCF(7379,7381) = 1
LCM(7379,7381) = ( 7379 × 7381) / 1
LCM(7379,7381) = 54464399 / 1
LCM(7379,7381) = 54464399
Properties of LCM 7379 and 7381
(i) The LCM of 7381 and 7379 is associative
LCM of 7379 and 7381 = LCM of 7381 and 7379
Related Least Common Multiples of 7379
Related Least Common Multiples of 7381
Frequently Asked Questions on LCM of 7379 and 7381
1. What is the LCM of 7379 and 7381?
Answer: LCM of 7379 and 7381 is 54464399.
2. What are the Factors of 7379?
Answer: Factors of 7379 are 1, 47, 157, 7379. There are 4 integers that are factors of 7379. The greatest factor of 7379 is 7379.
3. 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.
4. How to Find the LCM of 7379 and 7381?
Answer:
Least Common Multiple of 7379 and 7381 = 54464399
Step 1: Find the prime factorization of 7379
7379 = 47 x 157
Step 2: Find the prime factorization of 7381
7381 = 11 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54464399 = 11 x 11 x 47 x 61 x 157
Step 4: Therefore, the least common multiple of 7379 and 7381 is 54464399.