Least Common Multiple of 453 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 453 and 455 the smallest integer that is 206115 that is divisible by both numbers.
Least Common Multiple (LCM) of 453 and 455 is 206115.
LCM(453,455) = 206115
LCM of 453 and 455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 453 and 455 by Prime method
- Least Common Multiple of 453 and 455 with GCF Formula
LCM of 453 and 455 is 206115
Least common multiple can be found by multiplying the highest exponent prime factors of 453 and 455. First we will calculate the prime factors of 453 and 455.
Prime Factorization of 453
| 3 | 453 |
| 151 | 151 |
| 1 |
Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:
453 = 31×1511
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 453 and 455.
LCM(453,455) = 31×51×71×131×1511
LCM(453,455) = 206115
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1, 3, 151, 453
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 453 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 453 and 455, than apply into the LCM equation.
GCF(453,455) = 1
LCM(453,455) = ( 453 × 455) / 1
LCM(453,455) = 206115 / 1
LCM(453,455) = 206115
Properties of LCM 453 and 455
(i) The LCM of 455 and 453 is associative
LCM of 453 and 455 = LCM of 455 and 453
Related Least Common Multiples of 453
Related Least Common Multiples of 455
Frequently Asked Questions on LCM of 453 and 455
1. What is the LCM of 453 and 455?
Answer: LCM of 453 and 455 is 206115.
2. What are the Factors of 453?
Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.
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 453 and 455?
Answer:
Least Common Multiple of 453 and 455 = 206115
Step 1: Find the prime factorization of 453
453 = 3 x 151
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 = 206115 = 3 x 5 x 7 x 13 x 151
Step 4: Therefore, the least common multiple of 453 and 455 is 206115.