Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 447 and 449 the smallest integer that is 200703 that is divisible by both numbers.
Least Common Multiple (LCM) of 447 and 449 is 200703.
LCM(447,449) = 200703
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 447 and 449. First we will calculate the prime factors of 447 and 449.
Prime Factorization of 447
3 | 447 |
149 | 149 |
1 |
Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:
447 = 31×1491
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 447 and 449.
LCM(447,449) = 31×1491×4491
LCM(447,449) = 200703
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1, 3, 149, 447
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 447 and 449, than apply into the LCM equation.
GCF(447,449) = 1
LCM(447,449) = ( 447 × 449) / 1
LCM(447,449) = 200703 / 1
LCM(447,449) = 200703
(i) The LCM of 449 and 447 is associative
LCM of 447 and 449 = LCM of 449 and 447
1. What is the LCM of 447 and 449?
Answer: LCM of 447 and 449 is 200703.
2. What are the Factors of 447?
Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.
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 447 and 449?
Answer:
Least Common Multiple of 447 and 449 = 200703
Step 1: Find the prime factorization of 447
447 = 3 x 149
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 = 200703 = 3 x 149 x 449
Step 4: Therefore, the least common multiple of 447 and 449 is 200703.