Least Common Multiple of 4446 and 4449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4446 and 4449 the smallest integer that is 6593418 that is divisible by both numbers.
Least Common Multiple (LCM) of 4446 and 4449 is 6593418.
LCM(4446,4449) = 6593418
LCM of 4446 and 4449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4446 and 4449 by Prime method
- Least Common Multiple of 4446 and 4449 with GCF Formula
LCM of 4446 and 4449 is 6593418
Least common multiple can be found by multiplying the highest exponent prime factors of 4446 and 4449. First we will calculate the prime factors of 4446 and 4449.
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
Prime Factorization of 4449
| 3 | 4449 |
| 1483 | 1483 |
| 1 |
Prime factors of 4449 are 3,1483. Prime factorization of 4449 in exponential form is:
4449 = 31×14831
Now multiplying the highest exponent prime factors to calculate the LCM of 4446 and 4449.
LCM(4446,4449) = 21×32×131×191×14831
LCM(4446,4449) = 6593418
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
Factors of 4449
List of positive integer factors of 4449 that divides 4449 without a remainder.
1, 3, 1483, 4449
Least Common Multiple of 4446 and 4449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4446 and 4449, than apply into the LCM equation.
GCF(4446,4449) = 3
LCM(4446,4449) = ( 4446 × 4449) / 3
LCM(4446,4449) = 19780254 / 3
LCM(4446,4449) = 6593418
Properties of LCM 4446 and 4449
(i) The LCM of 4449 and 4446 is associative
LCM of 4446 and 4449 = LCM of 4449 and 4446
Related Least Common Multiples of 4446
Related Least Common Multiples of 4449
Frequently Asked Questions on LCM of 4446 and 4449
1. What is the LCM of 4446 and 4449?
Answer: LCM of 4446 and 4449 is 6593418.
2. 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.
3. What are the Factors of 4449?
Answer: Factors of 4449 are 1, 3, 1483, 4449. There are 4 integers that are factors of 4449. The greatest factor of 4449 is 4449.
4. How to Find the LCM of 4446 and 4449?
Answer:
Least Common Multiple of 4446 and 4449 = 6593418
Step 1: Find the prime factorization of 4446
4446 = 2 x 3 x 3 x 13 x 19
Step 2: Find the prime factorization of 4449
4449 = 3 x 1483
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6593418 = 2 x 3 x 3 x 13 x 19 x 1483
Step 4: Therefore, the least common multiple of 4446 and 4449 is 6593418.