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 435 the smallest integer that is 188355 that is divisible by both numbers.
Least Common Multiple (LCM) of 433 and 435 is 188355.
LCM(433,435) = 188355
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 435. First we will calculate the prime factors of 433 and 435.
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 435
3 | 435 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:
435 = 31×51×291
Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 435.
LCM(433,435) = 31×51×291×4331
LCM(433,435) = 188355
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1, 433
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 433 and 435, than apply into the LCM equation.
GCF(433,435) = 1
LCM(433,435) = ( 433 × 435) / 1
LCM(433,435) = 188355 / 1
LCM(433,435) = 188355
(i) The LCM of 435 and 433 is associative
LCM of 433 and 435 = LCM of 435 and 433
1. What is the LCM of 433 and 435?
Answer: LCM of 433 and 435 is 188355.
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 435?
Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.
4. How to Find the LCM of 433 and 435?
Answer:
Least Common Multiple of 433 and 435 = 188355
Step 1: Find the prime factorization of 433
433 = 433
Step 2: Find the prime factorization of 435
435 = 3 x 5 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 = 188355 = 3 x 5 x 29 x 433
Step 4: Therefore, the least common multiple of 433 and 435 is 188355.