Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 436 and 439 the smallest integer that is 191404 that is divisible by both numbers.
Least Common Multiple (LCM) of 436 and 439 is 191404.
LCM(436,439) = 191404
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 436 and 439. First we will calculate the prime factors of 436 and 439.
Prime Factorization of 436
2 | 436 |
2 | 218 |
109 | 109 |
1 |
Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:
436 = 22×1091
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 436 and 439.
LCM(436,439) = 22×1091×4391
LCM(436,439) = 191404
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
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 436 and 439, than apply into the LCM equation.
GCF(436,439) = 1
LCM(436,439) = ( 436 × 439) / 1
LCM(436,439) = 191404 / 1
LCM(436,439) = 191404
(i) The LCM of 439 and 436 is associative
LCM of 436 and 439 = LCM of 439 and 436
1. What is the LCM of 436 and 439?
Answer: LCM of 436 and 439 is 191404.
2. What are the Factors of 436?
Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.
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 436 and 439?
Answer:
Least Common Multiple of 436 and 439 = 191404
Step 1: Find the prime factorization of 436
436 = 2 x 2 x 109
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 = 191404 = 2 x 2 x 109 x 439
Step 4: Therefore, the least common multiple of 436 and 439 is 191404.