Least Common Multiple of 449 and 455
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 449 and 455 the smallest integer that is 204295 that is divisible by both numbers.
Least Common Multiple (LCM) of 449 and 455 is 204295.
LCM(449,455) = 204295
LCM of 449 and 455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 449 and 455 by Prime method
- Least Common Multiple of 449 and 455 with GCF Formula
LCM of 449 and 455 is 204295
Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 455. First we will calculate the prime factors of 449 and 455.
Prime Factorization of 449
| 449 | 449 |
| 1 |
Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:
449 = 4491
Prime Factorization of 455
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:
455 = 51×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 449 and 455.
LCM(449,455) = 51×71×131×4491
LCM(449,455) = 204295
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1, 449
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Least Common Multiple of 449 and 455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 449 and 455, than apply into the LCM equation.
GCF(449,455) = 1
LCM(449,455) = ( 449 × 455) / 1
LCM(449,455) = 204295 / 1
LCM(449,455) = 204295
Properties of LCM 449 and 455
(i) The LCM of 455 and 449 is associative
LCM of 449 and 455 = LCM of 455 and 449
Related Least Common Multiples of 449
Related Least Common Multiples of 455
Frequently Asked Questions on LCM of 449 and 455
1. What is the LCM of 449 and 455?
Answer: LCM of 449 and 455 is 204295.
2. 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.
3. What are the Factors of 455?
Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.
4. How to Find the LCM of 449 and 455?
Answer:
Least Common Multiple of 449 and 455 = 204295
Step 1: Find the prime factorization of 449
449 = 449
Step 2: Find the prime factorization of 455
455 = 5 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 204295 = 5 x 7 x 13 x 449
Step 4: Therefore, the least common multiple of 449 and 455 is 204295.
