Least Common Multiple of 4382 and 4387
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4382 and 4387 the smallest integer that is 19223834 that is divisible by both numbers.
Least Common Multiple (LCM) of 4382 and 4387 is 19223834.
LCM(4382,4387) = 19223834
LCM of 4382 and 4387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4382 and 4387 by Prime method
- Least Common Multiple of 4382 and 4387 with GCF Formula
LCM of 4382 and 4387 is 19223834
Least common multiple can be found by multiplying the highest exponent prime factors of 4382 and 4387. First we will calculate the prime factors of 4382 and 4387.
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
Prime Factorization of 4387
| 41 | 4387 |
| 107 | 107 |
| 1 |
Prime factors of 4387 are 41,107. Prime factorization of 4387 in exponential form is:
4387 = 411×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 4382 and 4387.
LCM(4382,4387) = 21×71×411×1071×3131
LCM(4382,4387) = 19223834
Factors of 4382
List of positive integer factors of 4382 that divides 4382 without a remainder.
1, 2, 7, 14, 313, 626, 2191, 4382
Factors of 4387
List of positive integer factors of 4387 that divides 4387 without a remainder.
1, 41, 107, 4387
Least Common Multiple of 4382 and 4387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4382 and 4387, than apply into the LCM equation.
GCF(4382,4387) = 1
LCM(4382,4387) = ( 4382 × 4387) / 1
LCM(4382,4387) = 19223834 / 1
LCM(4382,4387) = 19223834
Properties of LCM 4382 and 4387
(i) The LCM of 4387 and 4382 is associative
LCM of 4382 and 4387 = LCM of 4387 and 4382
Related Least Common Multiples of 4382
Related Least Common Multiples of 4387
Frequently Asked Questions on LCM of 4382 and 4387
1. What is the LCM of 4382 and 4387?
Answer: LCM of 4382 and 4387 is 19223834.
2. 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.
3. What are the Factors of 4387?
Answer: Factors of 4387 are 1, 41, 107, 4387. There are 4 integers that are factors of 4387. The greatest factor of 4387 is 4387.
4. How to Find the LCM of 4382 and 4387?
Answer:
Least Common Multiple of 4382 and 4387 = 19223834
Step 1: Find the prime factorization of 4382
4382 = 2 x 7 x 313
Step 2: Find the prime factorization of 4387
4387 = 41 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19223834 = 2 x 7 x 41 x 107 x 313
Step 4: Therefore, the least common multiple of 4382 and 4387 is 19223834.