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 439 the smallest integer that is 190087 that is divisible by both numbers.
Least Common Multiple (LCM) of 433 and 439 is 190087.
LCM(433,439) = 190087
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 439. First we will calculate the prime factors of 433 and 439.
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 439
439 | 439 |
1 |
Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:
439 = 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 439.
LCM(433,439) = 4331×4391
LCM(433,439) = 190087
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1, 433
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1, 439
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 433 and 439, than apply into the LCM equation.
GCF(433,439) = 1
LCM(433,439) = ( 433 × 439) / 1
LCM(433,439) = 190087 / 1
LCM(433,439) = 190087
(i) The LCM of 439 and 433 is associative
LCM of 433 and 439 = LCM of 439 and 433
1. What is the LCM of 433 and 439?
Answer: LCM of 433 and 439 is 190087.
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 439?
Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.
4. How to Find the LCM of 433 and 439?
Answer:
Least Common Multiple of 433 and 439 = 190087
Step 1: Find the prime factorization of 433
433 = 433
Step 2: Find the prime factorization of 439
439 = 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 190087 = 433 x 439
Step 4: Therefore, the least common multiple of 433 and 439 is 190087.