Least Common Multiple of 451 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 451 and 455 the smallest integer that is 205205 that is divisible by both numbers.
Least Common Multiple (LCM) of 451 and 455 is 205205.
LCM(451,455) = 205205
LCM of 451 and 455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 451 and 455 by Prime method
- Least Common Multiple of 451 and 455 with GCF Formula
LCM of 451 and 455 is 205205
Least common multiple can be found by multiplying the highest exponent prime factors of 451 and 455. First we will calculate the prime factors of 451 and 455.
Prime Factorization of 451
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:
451 = 111×411
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 451 and 455.
LCM(451,455) = 51×71×111×131×411
LCM(451,455) = 205205
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1, 11, 41, 451
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 451 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 451 and 455, than apply into the LCM equation.
GCF(451,455) = 1
LCM(451,455) = ( 451 × 455) / 1
LCM(451,455) = 205205 / 1
LCM(451,455) = 205205
Properties of LCM 451 and 455
(i) The LCM of 455 and 451 is associative
LCM of 451 and 455 = LCM of 455 and 451
Related Least Common Multiples of 451
Related Least Common Multiples of 455
Frequently Asked Questions on LCM of 451 and 455
1. What is the LCM of 451 and 455?
Answer: LCM of 451 and 455 is 205205.
2. What are the Factors of 451?
Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.
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 451 and 455?
Answer:
Least Common Multiple of 451 and 455 = 205205
Step 1: Find the prime factorization of 451
451 = 11 x 41
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 = 205205 = 5 x 7 x 11 x 13 x 41
Step 4: Therefore, the least common multiple of 451 and 455 is 205205.
