Least Common Multiple of 4383 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 4383 and 4387 the smallest integer that is 19228221 that is divisible by both numbers.
Least Common Multiple (LCM) of 4383 and 4387 is 19228221.
LCM(4383,4387) = 19228221
LCM of 4383 and 4387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4383 and 4387 by Prime method
- Least Common Multiple of 4383 and 4387 with GCF Formula
LCM of 4383 and 4387 is 19228221
Least common multiple can be found by multiplying the highest exponent prime factors of 4383 and 4387. First we will calculate the prime factors of 4383 and 4387.
Prime Factorization of 4383
| 3 | 4383 |
| 3 | 1461 |
| 487 | 487 |
| 1 |
Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:
4383 = 32×4871
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 4383 and 4387.
LCM(4383,4387) = 32×411×1071×4871
LCM(4383,4387) = 19228221
Factors of 4383
List of positive integer factors of 4383 that divides 4383 without a remainder.
1, 3, 9, 487, 1461, 4383
Factors of 4387
List of positive integer factors of 4387 that divides 4387 without a remainder.
1, 41, 107, 4387
Least Common Multiple of 4383 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 4383 and 4387, than apply into the LCM equation.
GCF(4383,4387) = 1
LCM(4383,4387) = ( 4383 × 4387) / 1
LCM(4383,4387) = 19228221 / 1
LCM(4383,4387) = 19228221
Properties of LCM 4383 and 4387
(i) The LCM of 4387 and 4383 is associative
LCM of 4383 and 4387 = LCM of 4387 and 4383
Related Least Common Multiples of 4383
Related Least Common Multiples of 4387
Frequently Asked Questions on LCM of 4383 and 4387
1. What is the LCM of 4383 and 4387?
Answer: LCM of 4383 and 4387 is 19228221.
2. What are the Factors of 4383?
Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.
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 4383 and 4387?
Answer:
Least Common Multiple of 4383 and 4387 = 19228221
Step 1: Find the prime factorization of 4383
4383 = 3 x 3 x 487
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 = 19228221 = 3 x 3 x 41 x 107 x 487
Step 4: Therefore, the least common multiple of 4383 and 4387 is 19228221.