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 434 the smallest integer that is 187922 that is divisible by both numbers.
Least Common Multiple (LCM) of 433 and 434 is 187922.
LCM(433,434) = 187922
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 434. First we will calculate the prime factors of 433 and 434.
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 434
2 | 434 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:
434 = 21×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 434.
LCM(433,434) = 21×71×311×4331
LCM(433,434) = 187922
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1, 433
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 433 and 434, than apply into the LCM equation.
GCF(433,434) = 1
LCM(433,434) = ( 433 × 434) / 1
LCM(433,434) = 187922 / 1
LCM(433,434) = 187922
(i) The LCM of 434 and 433 is associative
LCM of 433 and 434 = LCM of 434 and 433
1. What is the LCM of 433 and 434?
Answer: LCM of 433 and 434 is 187922.
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 434?
Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.
4. How to Find the LCM of 433 and 434?
Answer:
Least Common Multiple of 433 and 434 = 187922
Step 1: Find the prime factorization of 433
433 = 433
Step 2: Find the prime factorization of 434
434 = 2 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 187922 = 2 x 7 x 31 x 433
Step 4: Therefore, the least common multiple of 433 and 434 is 187922.