Least Common Multiple of 4439 and 4446
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4439 and 4446 the smallest integer that is 19735794 that is divisible by both numbers.
Least Common Multiple (LCM) of 4439 and 4446 is 19735794.
LCM(4439,4446) = 19735794
LCM of 4439 and 4446
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4439 and 4446 by Prime method
- Least Common Multiple of 4439 and 4446 with GCF Formula
LCM of 4439 and 4446 is 19735794
Least common multiple can be found by multiplying the highest exponent prime factors of 4439 and 4446. First we will calculate the prime factors of 4439 and 4446.
Prime Factorization of 4439
| 23 | 4439 |
| 193 | 193 |
| 1 |
Prime factors of 4439 are 23,193. Prime factorization of 4439 in exponential form is:
4439 = 231×1931
Prime Factorization of 4446
| 2 | 4446 |
| 3 | 2223 |
| 3 | 741 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 4446 are 2, 3, 13,19. Prime factorization of 4446 in exponential form is:
4446 = 21×32×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 4439 and 4446.
LCM(4439,4446) = 21×32×131×191×231×1931
LCM(4439,4446) = 19735794
Factors of 4439
List of positive integer factors of 4439 that divides 4439 without a remainder.
1, 23, 193, 4439
Factors of 4446
List of positive integer factors of 4446 that divides 4446 without a remainder.
1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446
Least Common Multiple of 4439 and 4446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4439 and 4446, than apply into the LCM equation.
GCF(4439,4446) = 1
LCM(4439,4446) = ( 4439 × 4446) / 1
LCM(4439,4446) = 19735794 / 1
LCM(4439,4446) = 19735794
Properties of LCM 4439 and 4446
(i) The LCM of 4446 and 4439 is associative
LCM of 4439 and 4446 = LCM of 4446 and 4439
Related Least Common Multiples of 4439
Related Least Common Multiples of 4446
Frequently Asked Questions on LCM of 4439 and 4446
1. What is the LCM of 4439 and 4446?
Answer: LCM of 4439 and 4446 is 19735794.
2. What are the Factors of 4439?
Answer: Factors of 4439 are 1, 23, 193, 4439. There are 4 integers that are factors of 4439. The greatest factor of 4439 is 4439.
3. What are the Factors of 4446?
Answer: Factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446. There are 24 integers that are factors of 4446. The greatest factor of 4446 is 4446.
4. How to Find the LCM of 4439 and 4446?
Answer:
Least Common Multiple of 4439 and 4446 = 19735794
Step 1: Find the prime factorization of 4439
4439 = 23 x 193
Step 2: Find the prime factorization of 4446
4446 = 2 x 3 x 3 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19735794 = 2 x 3 x 3 x 13 x 19 x 23 x 193
Step 4: Therefore, the least common multiple of 4439 and 4446 is 19735794.