Least Common Multiple of 8442 and 8447
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8442 and 8447 the smallest integer that is 71309574 that is divisible by both numbers.
Least Common Multiple (LCM) of 8442 and 8447 is 71309574.
LCM(8442,8447) = 71309574
LCM of 8442 and 8447
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8442 and 8447 by Prime method
- Least Common Multiple of 8442 and 8447 with GCF Formula
LCM of 8442 and 8447 is 71309574
Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8447. First we will calculate the prime factors of 8442 and 8447.
Prime Factorization of 8442
| 2 | 8442 |
| 3 | 4221 |
| 3 | 1407 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 8442 are 2, 3, 7,67. Prime factorization of 8442 in exponential form is:
8442 = 21×32×71×671
Prime Factorization of 8447
| 8447 | 8447 |
| 1 |
Prime factors of 8447 are 8447. Prime factorization of 8447 in exponential form is:
8447 = 84471
Now multiplying the highest exponent prime factors to calculate the LCM of 8442 and 8447.
LCM(8442,8447) = 21×32×71×671×84471
LCM(8442,8447) = 71309574
Factors of 8442
List of positive integer factors of 8442 that divides 8442 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442
Factors of 8447
List of positive integer factors of 8447 that divides 8447 without a remainder.
1, 8447
Least Common Multiple of 8442 and 8447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8442 and 8447, than apply into the LCM equation.
GCF(8442,8447) = 1
LCM(8442,8447) = ( 8442 × 8447) / 1
LCM(8442,8447) = 71309574 / 1
LCM(8442,8447) = 71309574
Properties of LCM 8442 and 8447
(i) The LCM of 8447 and 8442 is associative
LCM of 8442 and 8447 = LCM of 8447 and 8442
Related Least Common Multiples of 8442
Related Least Common Multiples of 8447
Frequently Asked Questions on LCM of 8442 and 8447
1. What is the LCM of 8442 and 8447?
Answer: LCM of 8442 and 8447 is 71309574.
2. What are the Factors of 8442?
Answer: Factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442. There are 24 integers that are factors of 8442. The greatest factor of 8442 is 8442.
3. What are the Factors of 8447?
Answer: Factors of 8447 are 1, 8447. There are 2 integers that are factors of 8447. The greatest factor of 8447 is 8447.
4. How to Find the LCM of 8442 and 8447?
Answer:
Least Common Multiple of 8442 and 8447 = 71309574
Step 1: Find the prime factorization of 8442
8442 = 2 x 3 x 3 x 7 x 67
Step 2: Find the prime factorization of 8447
8447 = 8447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71309574 = 2 x 3 x 3 x 7 x 67 x 8447
Step 4: Therefore, the least common multiple of 8442 and 8447 is 71309574.