Least Common Multiple of 433 and 441
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 433 and 441 the smallest integer that is 190953 that is divisible by both numbers.
Least Common Multiple (LCM) of 433 and 441 is 190953.
LCM(433,441) = 190953
LCM of 433 and 441
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 433 and 441 by Prime method
- Least Common Multiple of 433 and 441 with GCF Formula
LCM of 433 and 441 is 190953
Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 441. First we will calculate the prime factors of 433 and 441.
Prime Factorization of 433
| 433 | 433 |
| 1 |
Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:
433 = 4331
Prime Factorization of 441
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:
441 = 32×72
Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 441.
LCM(433,441) = 32×72×4331
LCM(433,441) = 190953
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1, 433
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Least Common Multiple of 433 and 441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 433 and 441, than apply into the LCM equation.
GCF(433,441) = 1
LCM(433,441) = ( 433 × 441) / 1
LCM(433,441) = 190953 / 1
LCM(433,441) = 190953
Properties of LCM 433 and 441
(i) The LCM of 441 and 433 is associative
LCM of 433 and 441 = LCM of 441 and 433
Related Least Common Multiples of 433
Related Least Common Multiples of 441
Frequently Asked Questions on LCM of 433 and 441
1. What is the LCM of 433 and 441?
Answer: LCM of 433 and 441 is 190953.
2. What are the Factors of 433?
Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.
3. What are the Factors of 441?
Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.
4. How to Find the LCM of 433 and 441?
Answer:
Least Common Multiple of 433 and 441 = 190953
Step 1: Find the prime factorization of 433
433 = 433
Step 2: Find the prime factorization of 441
441 = 3 x 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 190953 = 3 x 3 x 7 x 7 x 433
Step 4: Therefore, the least common multiple of 433 and 441 is 190953.