Least Common Multiple of 6445 and 6453
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6445 and 6453 the smallest integer that is 41589585 that is divisible by both numbers.
Least Common Multiple (LCM) of 6445 and 6453 is 41589585.
LCM(6445,6453) = 41589585
LCM of 6445 and 6453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6445 and 6453 by Prime method
- Least Common Multiple of 6445 and 6453 with GCF Formula
LCM of 6445 and 6453 is 41589585
Least common multiple can be found by multiplying the highest exponent prime factors of 6445 and 6453. First we will calculate the prime factors of 6445 and 6453.
Prime Factorization of 6445
| 5 | 6445 |
| 1289 | 1289 |
| 1 |
Prime factors of 6445 are 5,1289. Prime factorization of 6445 in exponential form is:
6445 = 51×12891
Prime Factorization of 6453
| 3 | 6453 |
| 3 | 2151 |
| 3 | 717 |
| 239 | 239 |
| 1 |
Prime factors of 6453 are 3,239. Prime factorization of 6453 in exponential form is:
6453 = 33×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 6445 and 6453.
LCM(6445,6453) = 33×51×2391×12891
LCM(6445,6453) = 41589585
Factors of 6445
List of positive integer factors of 6445 that divides 6445 without a remainder.
1, 5, 1289, 6445
Factors of 6453
List of positive integer factors of 6453 that divides 6453 without a remainder.
1, 3, 9, 27, 239, 717, 2151, 6453
Least Common Multiple of 6445 and 6453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6445 and 6453, than apply into the LCM equation.
GCF(6445,6453) = 1
LCM(6445,6453) = ( 6445 × 6453) / 1
LCM(6445,6453) = 41589585 / 1
LCM(6445,6453) = 41589585
Properties of LCM 6445 and 6453
(i) The LCM of 6453 and 6445 is associative
LCM of 6445 and 6453 = LCM of 6453 and 6445
Related Least Common Multiples of 6445
Related Least Common Multiples of 6453
Frequently Asked Questions on LCM of 6445 and 6453
1. What is the LCM of 6445 and 6453?
Answer: LCM of 6445 and 6453 is 41589585.
2. What are the Factors of 6445?
Answer: Factors of 6445 are 1, 5, 1289, 6445. There are 4 integers that are factors of 6445. The greatest factor of 6445 is 6445.
3. What are the Factors of 6453?
Answer: Factors of 6453 are 1, 3, 9, 27, 239, 717, 2151, 6453. There are 8 integers that are factors of 6453. The greatest factor of 6453 is 6453.
4. How to Find the LCM of 6445 and 6453?
Answer:
Least Common Multiple of 6445 and 6453 = 41589585
Step 1: Find the prime factorization of 6445
6445 = 5 x 1289
Step 2: Find the prime factorization of 6453
6453 = 3 x 3 x 3 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41589585 = 3 x 3 x 3 x 5 x 239 x 1289
Step 4: Therefore, the least common multiple of 6445 and 6453 is 41589585.