Least Common Multiple of 4433 and 4437
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4433 and 4437 the smallest integer that is 19669221 that is divisible by both numbers.
Least Common Multiple (LCM) of 4433 and 4437 is 19669221.
LCM(4433,4437) = 19669221
LCM of 4433 and 4437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4433 and 4437 by Prime method
- Least Common Multiple of 4433 and 4437 with GCF Formula
LCM of 4433 and 4437 is 19669221
Least common multiple can be found by multiplying the highest exponent prime factors of 4433 and 4437. First we will calculate the prime factors of 4433 and 4437.
Prime Factorization of 4433
| 11 | 4433 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 4433 are 11, 13,31. Prime factorization of 4433 in exponential form is:
4433 = 111×131×311
Prime Factorization of 4437
| 3 | 4437 |
| 3 | 1479 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 4437 are 3, 17,29. Prime factorization of 4437 in exponential form is:
4437 = 32×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 4433 and 4437.
LCM(4433,4437) = 32×111×131×171×291×311
LCM(4433,4437) = 19669221
Factors of 4433
List of positive integer factors of 4433 that divides 4433 without a remainder.
1, 11, 13, 31, 143, 341, 403, 4433
Factors of 4437
List of positive integer factors of 4437 that divides 4437 without a remainder.
1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437
Least Common Multiple of 4433 and 4437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4433 and 4437, than apply into the LCM equation.
GCF(4433,4437) = 1
LCM(4433,4437) = ( 4433 × 4437) / 1
LCM(4433,4437) = 19669221 / 1
LCM(4433,4437) = 19669221
Properties of LCM 4433 and 4437
(i) The LCM of 4437 and 4433 is associative
LCM of 4433 and 4437 = LCM of 4437 and 4433
Related Least Common Multiples of 4433
Related Least Common Multiples of 4437
Frequently Asked Questions on LCM of 4433 and 4437
1. What is the LCM of 4433 and 4437?
Answer: LCM of 4433 and 4437 is 19669221.
2. What are the Factors of 4433?
Answer: Factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433. There are 8 integers that are factors of 4433. The greatest factor of 4433 is 4433.
3. What are the Factors of 4437?
Answer: Factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437. There are 12 integers that are factors of 4437. The greatest factor of 4437 is 4437.
4. How to Find the LCM of 4433 and 4437?
Answer:
Least Common Multiple of 4433 and 4437 = 19669221
Step 1: Find the prime factorization of 4433
4433 = 11 x 13 x 31
Step 2: Find the prime factorization of 4437
4437 = 3 x 3 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19669221 = 3 x 3 x 11 x 13 x 17 x 29 x 31
Step 4: Therefore, the least common multiple of 4433 and 4437 is 19669221.