Least Common Multiple of 4446 and 4451
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 4451 the smallest integer that is 19789146 that is divisible by both numbers.
Least Common Multiple (LCM) of 4446 and 4451 is 19789146.
LCM(4446,4451) = 19789146
LCM of 4446 and 4451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4446 and 4451 by Prime method
- Least Common Multiple of 4446 and 4451 with GCF Formula
LCM of 4446 and 4451 is 19789146
Least common multiple can be found by multiplying the highest exponent prime factors of 4446 and 4451. First we will calculate the prime factors of 4446 and 4451.
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 4451
| 4451 | 4451 |
| 1 |
Prime factors of 4451 are 4451. Prime factorization of 4451 in exponential form is:
4451 = 44511
Now multiplying the highest exponent prime factors to calculate the LCM of 4446 and 4451.
LCM(4446,4451) = 21×32×131×191×44511
LCM(4446,4451) = 19789146
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 4451
List of positive integer factors of 4451 that divides 4451 without a remainder.
1, 4451
Least Common Multiple of 4446 and 4451 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 4451, than apply into the LCM equation.
GCF(4446,4451) = 1
LCM(4446,4451) = ( 4446 × 4451) / 1
LCM(4446,4451) = 19789146 / 1
LCM(4446,4451) = 19789146
Properties of LCM 4446 and 4451
(i) The LCM of 4451 and 4446 is associative
LCM of 4446 and 4451 = LCM of 4451 and 4446
Related Least Common Multiples of 4446
Related Least Common Multiples of 4451
Frequently Asked Questions on LCM of 4446 and 4451
1. What is the LCM of 4446 and 4451?
Answer: LCM of 4446 and 4451 is 19789146.
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 4451?
Answer: Factors of 4451 are 1, 4451. There are 2 integers that are factors of 4451. The greatest factor of 4451 is 4451.
4. How to Find the LCM of 4446 and 4451?
Answer:
Least Common Multiple of 4446 and 4451 = 19789146
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 4451
4451 = 4451
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19789146 = 2 x 3 x 3 x 13 x 19 x 4451
Step 4: Therefore, the least common multiple of 4446 and 4451 is 19789146.