Least Common Multiple of 8445 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 8445 and 8453 the smallest integer that is 71385585 that is divisible by both numbers.
Least Common Multiple (LCM) of 8445 and 8453 is 71385585.
LCM(8445,8453) = 71385585
LCM of 8445 and 8453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8445 and 8453 by Prime method
- Least Common Multiple of 8445 and 8453 with GCF Formula
LCM of 8445 and 8453 is 71385585
Least common multiple can be found by multiplying the highest exponent prime factors of 8445 and 8453. First we will calculate the prime factors of 8445 and 8453.
Prime Factorization of 8445
| 3 | 8445 |
| 5 | 2815 |
| 563 | 563 |
| 1 |
Prime factors of 8445 are 3, 5,563. Prime factorization of 8445 in exponential form is:
8445 = 31×51×5631
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 8445 and 8453.
LCM(8445,8453) = 31×51×791×1071×5631
LCM(8445,8453) = 71385585
Factors of 8445
List of positive integer factors of 8445 that divides 8445 without a remainder.
1, 3, 5, 15, 563, 1689, 2815, 8445
Factors of 8453
List of positive integer factors of 8453 that divides 8453 without a remainder.
1, 79, 107, 8453
Least Common Multiple of 8445 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 8445 and 8453, than apply into the LCM equation.
GCF(8445,8453) = 1
LCM(8445,8453) = ( 8445 × 8453) / 1
LCM(8445,8453) = 71385585 / 1
LCM(8445,8453) = 71385585
Properties of LCM 8445 and 8453
(i) The LCM of 8453 and 8445 is associative
LCM of 8445 and 8453 = LCM of 8453 and 8445
Related Least Common Multiples of 8445
Related Least Common Multiples of 8453
Frequently Asked Questions on LCM of 8445 and 8453
1. What is the LCM of 8445 and 8453?
Answer: LCM of 8445 and 8453 is 71385585.
2. What are the Factors of 8445?
Answer: Factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445. There are 8 integers that are factors of 8445. The greatest factor of 8445 is 8445.
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 8445 and 8453?
Answer:
Least Common Multiple of 8445 and 8453 = 71385585
Step 1: Find the prime factorization of 8445
8445 = 3 x 5 x 563
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 = 71385585 = 3 x 5 x 79 x 107 x 563
Step 4: Therefore, the least common multiple of 8445 and 8453 is 71385585.