Least Common Multiple of 455 and 463
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 455 and 463 the smallest integer that is 210665 that is divisible by both numbers.
Least Common Multiple (LCM) of 455 and 463 is 210665.
LCM(455,463) = 210665
LCM of 455 and 463
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 455 and 463 by Prime method
- Least Common Multiple of 455 and 463 with GCF Formula
LCM of 455 and 463 is 210665
Least common multiple can be found by multiplying the highest exponent prime factors of 455 and 463. First we will calculate the prime factors of 455 and 463.
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
Prime Factorization of 463
| 463 | 463 |
| 1 |
Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:
463 = 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 455 and 463.
LCM(455,463) = 51×71×131×4631
LCM(455,463) = 210665
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1, 463
Least Common Multiple of 455 and 463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 455 and 463, than apply into the LCM equation.
GCF(455,463) = 1
LCM(455,463) = ( 455 × 463) / 1
LCM(455,463) = 210665 / 1
LCM(455,463) = 210665
Properties of LCM 455 and 463
(i) The LCM of 463 and 455 is associative
LCM of 455 and 463 = LCM of 463 and 455
Related Least Common Multiples of 455
Related Least Common Multiples of 463
Frequently Asked Questions on LCM of 455 and 463
1. What is the LCM of 455 and 463?
Answer: LCM of 455 and 463 is 210665.
2. 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.
3. What are the Factors of 463?
Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.
4. How to Find the LCM of 455 and 463?
Answer:
Least Common Multiple of 455 and 463 = 210665
Step 1: Find the prime factorization of 455
455 = 5 x 7 x 13
Step 2: Find the prime factorization of 463
463 = 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 210665 = 5 x 7 x 13 x 463
Step 4: Therefore, the least common multiple of 455 and 463 is 210665.
