Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 439 and 445 the smallest integer that is 195355 that is divisible by both numbers.
Least Common Multiple (LCM) of 439 and 445 is 195355.
LCM(439,445) = 195355
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 439 and 445. First we will calculate the prime factors of 439 and 445.
Prime Factorization of 439
439 | 439 |
1 |
Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:
439 = 4391
Prime Factorization of 445
5 | 445 |
89 | 89 |
1 |
Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:
445 = 51×891
Now multiplying the highest exponent prime factors to calculate the LCM of 439 and 445.
LCM(439,445) = 51×891×4391
LCM(439,445) = 195355
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1, 439
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1, 5, 89, 445
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 439 and 445, than apply into the LCM equation.
GCF(439,445) = 1
LCM(439,445) = ( 439 × 445) / 1
LCM(439,445) = 195355 / 1
LCM(439,445) = 195355
(i) The LCM of 445 and 439 is associative
LCM of 439 and 445 = LCM of 445 and 439
1. What is the LCM of 439 and 445?
Answer: LCM of 439 and 445 is 195355.
2. 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.
3. What are the Factors of 445?
Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.
4. How to Find the LCM of 439 and 445?
Answer:
Least Common Multiple of 439 and 445 = 195355
Step 1: Find the prime factorization of 439
439 = 439
Step 2: Find the prime factorization of 445
445 = 5 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 195355 = 5 x 89 x 439
Step 4: Therefore, the least common multiple of 439 and 445 is 195355.