Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 445 and 449 the smallest integer that is 199805 that is divisible by both numbers.
Least Common Multiple (LCM) of 445 and 449 is 199805.
LCM(445,449) = 199805
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 445 and 449. First we will calculate the prime factors of 445 and 449.
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
Prime Factorization of 449
449 | 449 |
1 |
Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:
449 = 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 445 and 449.
LCM(445,449) = 51×891×4491
LCM(445,449) = 199805
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1, 449
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 445 and 449, than apply into the LCM equation.
GCF(445,449) = 1
LCM(445,449) = ( 445 × 449) / 1
LCM(445,449) = 199805 / 1
LCM(445,449) = 199805
(i) The LCM of 449 and 445 is associative
LCM of 445 and 449 = LCM of 449 and 445
1. What is the LCM of 445 and 449?
Answer: LCM of 445 and 449 is 199805.
2. 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.
3. What are the Factors of 449?
Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.
4. How to Find the LCM of 445 and 449?
Answer:
Least Common Multiple of 445 and 449 = 199805
Step 1: Find the prime factorization of 445
445 = 5 x 89
Step 2: Find the prime factorization of 449
449 = 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 199805 = 5 x 89 x 449
Step 4: Therefore, the least common multiple of 445 and 449 is 199805.