Least Common Multiple of 4399 and 4405
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4399 and 4405 the smallest integer that is 19377595 that is divisible by both numbers.
Least Common Multiple (LCM) of 4399 and 4405 is 19377595.
LCM(4399,4405) = 19377595
LCM of 4399 and 4405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4399 and 4405 by Prime method
- Least Common Multiple of 4399 and 4405 with GCF Formula
LCM of 4399 and 4405 is 19377595
Least common multiple can be found by multiplying the highest exponent prime factors of 4399 and 4405. First we will calculate the prime factors of 4399 and 4405.
Prime Factorization of 4399
| 53 | 4399 |
| 83 | 83 |
| 1 |
Prime factors of 4399 are 53,83. Prime factorization of 4399 in exponential form is:
4399 = 531×831
Prime Factorization of 4405
| 5 | 4405 |
| 881 | 881 |
| 1 |
Prime factors of 4405 are 5,881. Prime factorization of 4405 in exponential form is:
4405 = 51×8811
Now multiplying the highest exponent prime factors to calculate the LCM of 4399 and 4405.
LCM(4399,4405) = 51×531×831×8811
LCM(4399,4405) = 19377595
Factors of 4399
List of positive integer factors of 4399 that divides 4399 without a remainder.
1, 53, 83, 4399
Factors of 4405
List of positive integer factors of 4405 that divides 4405 without a remainder.
1, 5, 881, 4405
Least Common Multiple of 4399 and 4405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4399 and 4405, than apply into the LCM equation.
GCF(4399,4405) = 1
LCM(4399,4405) = ( 4399 × 4405) / 1
LCM(4399,4405) = 19377595 / 1
LCM(4399,4405) = 19377595
Properties of LCM 4399 and 4405
(i) The LCM of 4405 and 4399 is associative
LCM of 4399 and 4405 = LCM of 4405 and 4399
Related Least Common Multiples of 4399
Related Least Common Multiples of 4405
Frequently Asked Questions on LCM of 4399 and 4405
1. What is the LCM of 4399 and 4405?
Answer: LCM of 4399 and 4405 is 19377595.
2. What are the Factors of 4399?
Answer: Factors of 4399 are 1, 53, 83, 4399. There are 4 integers that are factors of 4399. The greatest factor of 4399 is 4399.
3. What are the Factors of 4405?
Answer: Factors of 4405 are 1, 5, 881, 4405. There are 4 integers that are factors of 4405. The greatest factor of 4405 is 4405.
4. How to Find the LCM of 4399 and 4405?
Answer:
Least Common Multiple of 4399 and 4405 = 19377595
Step 1: Find the prime factorization of 4399
4399 = 53 x 83
Step 2: Find the prime factorization of 4405
4405 = 5 x 881
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19377595 = 5 x 53 x 83 x 881
Step 4: Therefore, the least common multiple of 4399 and 4405 is 19377595.