Least Common Multiple of 4375 and 4382
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 4382 the smallest integer that is 2738750 that is divisible by both numbers.
Least Common Multiple (LCM) of 4375 and 4382 is 2738750.
LCM(4375,4382) = 2738750
LCM of 4375 and 4382
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4375 and 4382 by Prime method
- Least Common Multiple of 4375 and 4382 with GCF Formula
LCM of 4375 and 4382 is 2738750
Least common multiple can be found by multiplying the highest exponent prime factors of 4375 and 4382. First we will calculate the prime factors of 4375 and 4382.
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 4382
| 2 | 4382 |
| 7 | 2191 |
| 313 | 313 |
| 1 |
Prime factors of 4382 are 2, 7,313. Prime factorization of 4382 in exponential form is:
4382 = 21×71×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 4375 and 4382.
LCM(4375,4382) = 21×54×71×3131
LCM(4375,4382) = 2738750
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 4382
List of positive integer factors of 4382 that divides 4382 without a remainder.
1, 2, 7, 14, 313, 626, 2191, 4382
Least Common Multiple of 4375 and 4382 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 4382, than apply into the LCM equation.
GCF(4375,4382) = 7
LCM(4375,4382) = ( 4375 × 4382) / 7
LCM(4375,4382) = 19171250 / 7
LCM(4375,4382) = 2738750
Properties of LCM 4375 and 4382
(i) The LCM of 4382 and 4375 is associative
LCM of 4375 and 4382 = LCM of 4382 and 4375
Related Least Common Multiples of 4375
Related Least Common Multiples of 4382
Frequently Asked Questions on LCM of 4375 and 4382
1. What is the LCM of 4375 and 4382?
Answer: LCM of 4375 and 4382 is 2738750.
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 4382?
Answer: Factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382. There are 8 integers that are factors of 4382. The greatest factor of 4382 is 4382.
4. How to Find the LCM of 4375 and 4382?
Answer:
Least Common Multiple of 4375 and 4382 = 2738750
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 4382
4382 = 2 x 7 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2738750 = 2 x 5 x 5 x 5 x 5 x 7 x 313
Step 4: Therefore, the least common multiple of 4375 and 4382 is 2738750.