Least Common Multiple of 8451 and 8453
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8451 and 8453 the smallest integer that is 71436303 that is divisible by both numbers.
Least Common Multiple (LCM) of 8451 and 8453 is 71436303.
LCM(8451,8453) = 71436303
LCM of 8451 and 8453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8451 and 8453 by Prime method
- Least Common Multiple of 8451 and 8453 with GCF Formula
LCM of 8451 and 8453 is 71436303
Least common multiple can be found by multiplying the highest exponent prime factors of 8451 and 8453. First we will calculate the prime factors of 8451 and 8453.
Prime Factorization of 8451
| 3 | 8451 |
| 3 | 2817 |
| 3 | 939 |
| 313 | 313 |
| 1 |
Prime factors of 8451 are 3,313. Prime factorization of 8451 in exponential form is:
8451 = 33×3131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8451 and 8453.
LCM(8451,8453) = 33×791×1071×3131
LCM(8451,8453) = 71436303
Factors of 8451
List of positive integer factors of 8451 that divides 8451 without a remainder.
1, 3, 9, 27, 313, 939, 2817, 8451
Factors of 8453
List of positive integer factors of 8453 that divides 8453 without a remainder.
1, 79, 107, 8453
Least Common Multiple of 8451 and 8453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8451 and 8453, than apply into the LCM equation.
GCF(8451,8453) = 1
LCM(8451,8453) = ( 8451 × 8453) / 1
LCM(8451,8453) = 71436303 / 1
LCM(8451,8453) = 71436303
Properties of LCM 8451 and 8453
(i) The LCM of 8453 and 8451 is associative
LCM of 8451 and 8453 = LCM of 8453 and 8451
Related Least Common Multiples of 8451
Related Least Common Multiples of 8453
Frequently Asked Questions on LCM of 8451 and 8453
1. What is the LCM of 8451 and 8453?
Answer: LCM of 8451 and 8453 is 71436303.
2. What are the Factors of 8451?
Answer: Factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451. There are 8 integers that are factors of 8451. The greatest factor of 8451 is 8451.
3. 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.
4. How to Find the LCM of 8451 and 8453?
Answer:
Least Common Multiple of 8451 and 8453 = 71436303
Step 1: Find the prime factorization of 8451
8451 = 3 x 3 x 3 x 313
Step 2: Find the prime factorization of 8453
8453 = 79 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71436303 = 3 x 3 x 3 x 79 x 107 x 313
Step 4: Therefore, the least common multiple of 8451 and 8453 is 71436303.