Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 437 and 439 the smallest integer that is 191843 that is divisible by both numbers.
Least Common Multiple (LCM) of 437 and 439 is 191843.
LCM(437,439) = 191843
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 437 and 439. First we will calculate the prime factors of 437 and 439.
Prime Factorization of 437
19 | 437 |
23 | 23 |
1 |
Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:
437 = 191×231
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 437 and 439.
LCM(437,439) = 191×231×4391
LCM(437,439) = 191843
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1, 19, 23, 437
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 437 and 439, than apply into the LCM equation.
GCF(437,439) = 1
LCM(437,439) = ( 437 × 439) / 1
LCM(437,439) = 191843 / 1
LCM(437,439) = 191843
(i) The LCM of 439 and 437 is associative
LCM of 437 and 439 = LCM of 439 and 437
1. What is the LCM of 437 and 439?
Answer: LCM of 437 and 439 is 191843.
2. What are the Factors of 437?
Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.
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 437 and 439?
Answer:
Least Common Multiple of 437 and 439 = 191843
Step 1: Find the prime factorization of 437
437 = 19 x 23
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 = 191843 = 19 x 23 x 439
Step 4: Therefore, the least common multiple of 437 and 439 is 191843.