Least Common Multiple of 8453 and 8459
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8453 and 8459 the smallest integer that is 71503927 that is divisible by both numbers.
Least Common Multiple (LCM) of 8453 and 8459 is 71503927.
LCM(8453,8459) = 71503927
LCM of 8453 and 8459
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8453 and 8459 by Prime method
- Least Common Multiple of 8453 and 8459 with GCF Formula
LCM of 8453 and 8459 is 71503927
Least common multiple can be found by multiplying the highest exponent prime factors of 8453 and 8459. First we will calculate the prime factors of 8453 and 8459.
Prime Factorization of 8453
| 79 | 8453 |
| 107 | 107 |
| 1 |
Prime factors of 8453 are 79,107. Prime factorization of 8453 in exponential form is:
8453 = 791×1071
Prime Factorization of 8459
| 11 | 8459 |
| 769 | 769 |
| 1 |
Prime factors of 8459 are 11,769. Prime factorization of 8459 in exponential form is:
8459 = 111×7691
Now multiplying the highest exponent prime factors to calculate the LCM of 8453 and 8459.
LCM(8453,8459) = 111×791×1071×7691
LCM(8453,8459) = 71503927
Factors of 8453
List of positive integer factors of 8453 that divides 8453 without a remainder.
1, 79, 107, 8453
Factors of 8459
List of positive integer factors of 8459 that divides 8459 without a remainder.
1, 11, 769, 8459
Least Common Multiple of 8453 and 8459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8453 and 8459, than apply into the LCM equation.
GCF(8453,8459) = 1
LCM(8453,8459) = ( 8453 × 8459) / 1
LCM(8453,8459) = 71503927 / 1
LCM(8453,8459) = 71503927
Properties of LCM 8453 and 8459
(i) The LCM of 8459 and 8453 is associative
LCM of 8453 and 8459 = LCM of 8459 and 8453
Related Least Common Multiples of 8453
Related Least Common Multiples of 8459
Frequently Asked Questions on LCM of 8453 and 8459
1. What is the LCM of 8453 and 8459?
Answer: LCM of 8453 and 8459 is 71503927.
2. What are the Factors of 8453?
Answer: Factors of 8453 are 1, 79, 107, 8453. There are 4 integers that are factors of 8453. The greatest factor of 8453 is 8453.
3. What are the Factors of 8459?
Answer: Factors of 8459 are 1, 11, 769, 8459. There are 4 integers that are factors of 8459. The greatest factor of 8459 is 8459.
4. How to Find the LCM of 8453 and 8459?
Answer:
Least Common Multiple of 8453 and 8459 = 71503927
Step 1: Find the prime factorization of 8453
8453 = 79 x 107
Step 2: Find the prime factorization of 8459
8459 = 11 x 769
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71503927 = 11 x 79 x 107 x 769
Step 4: Therefore, the least common multiple of 8453 and 8459 is 71503927.