Least Common Multiple of 4375 and 4381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4375 and 4381 the smallest integer that is 19166875 that is divisible by both numbers.
Least Common Multiple (LCM) of 4375 and 4381 is 19166875.
LCM(4375,4381) = 19166875
LCM of 4375 and 4381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4375 and 4381 by Prime method
- Least Common Multiple of 4375 and 4381 with GCF Formula
LCM of 4375 and 4381 is 19166875
Least common multiple can be found by multiplying the highest exponent prime factors of 4375 and 4381. First we will calculate the prime factors of 4375 and 4381.
Prime Factorization of 4375
| 5 | 4375 |
| 5 | 875 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 4375 are 5,7. Prime factorization of 4375 in exponential form is:
4375 = 54×71
Prime Factorization of 4381
| 13 | 4381 |
| 337 | 337 |
| 1 |
Prime factors of 4381 are 13,337. Prime factorization of 4381 in exponential form is:
4381 = 131×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 4375 and 4381.
LCM(4375,4381) = 54×71×131×3371
LCM(4375,4381) = 19166875
Factors of 4375
List of positive integer factors of 4375 that divides 4375 without a remainder.
1, 5, 7, 25, 35, 125, 175, 625, 875, 4375
Factors of 4381
List of positive integer factors of 4381 that divides 4381 without a remainder.
1, 13, 337, 4381
Least Common Multiple of 4375 and 4381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4375 and 4381, than apply into the LCM equation.
GCF(4375,4381) = 1
LCM(4375,4381) = ( 4375 × 4381) / 1
LCM(4375,4381) = 19166875 / 1
LCM(4375,4381) = 19166875
Properties of LCM 4375 and 4381
(i) The LCM of 4381 and 4375 is associative
LCM of 4375 and 4381 = LCM of 4381 and 4375
Related Least Common Multiples of 4375
Related Least Common Multiples of 4381
Frequently Asked Questions on LCM of 4375 and 4381
1. What is the LCM of 4375 and 4381?
Answer: LCM of 4375 and 4381 is 19166875.
2. What are the Factors of 4375?
Answer: Factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375. There are 10 integers that are factors of 4375. The greatest factor of 4375 is 4375.
3. What are the Factors of 4381?
Answer: Factors of 4381 are 1, 13, 337, 4381. There are 4 integers that are factors of 4381. The greatest factor of 4381 is 4381.
4. How to Find the LCM of 4375 and 4381?
Answer:
Least Common Multiple of 4375 and 4381 = 19166875
Step 1: Find the prime factorization of 4375
4375 = 5 x 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 4381
4381 = 13 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19166875 = 5 x 5 x 5 x 5 x 7 x 13 x 337
Step 4: Therefore, the least common multiple of 4375 and 4381 is 19166875.