Least Common Multiple of 4399 and 4401
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 4401 the smallest integer that is 19359999 that is divisible by both numbers.
Least Common Multiple (LCM) of 4399 and 4401 is 19359999.
LCM(4399,4401) = 19359999
LCM of 4399 and 4401
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4399 and 4401 by Prime method
- Least Common Multiple of 4399 and 4401 with GCF Formula
LCM of 4399 and 4401 is 19359999
Least common multiple can be found by multiplying the highest exponent prime factors of 4399 and 4401. First we will calculate the prime factors of 4399 and 4401.
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 4401
| 3 | 4401 |
| 3 | 1467 |
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 4401 are 3,163. Prime factorization of 4401 in exponential form is:
4401 = 33×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 4399 and 4401.
LCM(4399,4401) = 33×531×831×1631
LCM(4399,4401) = 19359999
Factors of 4399
List of positive integer factors of 4399 that divides 4399 without a remainder.
1, 53, 83, 4399
Factors of 4401
List of positive integer factors of 4401 that divides 4401 without a remainder.
1, 3, 9, 27, 163, 489, 1467, 4401
Least Common Multiple of 4399 and 4401 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 4401, than apply into the LCM equation.
GCF(4399,4401) = 1
LCM(4399,4401) = ( 4399 × 4401) / 1
LCM(4399,4401) = 19359999 / 1
LCM(4399,4401) = 19359999
Properties of LCM 4399 and 4401
(i) The LCM of 4401 and 4399 is associative
LCM of 4399 and 4401 = LCM of 4401 and 4399
Related Least Common Multiples of 4399
Related Least Common Multiples of 4401
Frequently Asked Questions on LCM of 4399 and 4401
1. What is the LCM of 4399 and 4401?
Answer: LCM of 4399 and 4401 is 19359999.
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 4401?
Answer: Factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401. There are 8 integers that are factors of 4401. The greatest factor of 4401 is 4401.
4. How to Find the LCM of 4399 and 4401?
Answer:
Least Common Multiple of 4399 and 4401 = 19359999
Step 1: Find the prime factorization of 4399
4399 = 53 x 83
Step 2: Find the prime factorization of 4401
4401 = 3 x 3 x 3 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19359999 = 3 x 3 x 3 x 53 x 83 x 163
Step 4: Therefore, the least common multiple of 4399 and 4401 is 19359999.