Least Common Multiple of 8455 and 8463
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8455 and 8463 the smallest integer that is 71554665 that is divisible by both numbers.
Least Common Multiple (LCM) of 8455 and 8463 is 71554665.
LCM(8455,8463) = 71554665
LCM of 8455 and 8463
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8455 and 8463 by Prime method
- Least Common Multiple of 8455 and 8463 with GCF Formula
LCM of 8455 and 8463 is 71554665
Least common multiple can be found by multiplying the highest exponent prime factors of 8455 and 8463. First we will calculate the prime factors of 8455 and 8463.
Prime Factorization of 8455
| 5 | 8455 |
| 19 | 1691 |
| 89 | 89 |
| 1 |
Prime factors of 8455 are 5, 19,89. Prime factorization of 8455 in exponential form is:
8455 = 51×191×891
Prime Factorization of 8463
| 3 | 8463 |
| 7 | 2821 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 8463 are 3, 7, 13,31. Prime factorization of 8463 in exponential form is:
8463 = 31×71×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 8455 and 8463.
LCM(8455,8463) = 31×51×71×131×191×311×891
LCM(8455,8463) = 71554665
Factors of 8455
List of positive integer factors of 8455 that divides 8455 without a remainder.
1, 5, 19, 89, 95, 445, 1691, 8455
Factors of 8463
List of positive integer factors of 8463 that divides 8463 without a remainder.
1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
Least Common Multiple of 8455 and 8463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8455 and 8463, than apply into the LCM equation.
GCF(8455,8463) = 1
LCM(8455,8463) = ( 8455 × 8463) / 1
LCM(8455,8463) = 71554665 / 1
LCM(8455,8463) = 71554665
Properties of LCM 8455 and 8463
(i) The LCM of 8463 and 8455 is associative
LCM of 8455 and 8463 = LCM of 8463 and 8455
Related Least Common Multiples of 8455
Related Least Common Multiples of 8463
Frequently Asked Questions on LCM of 8455 and 8463
1. What is the LCM of 8455 and 8463?
Answer: LCM of 8455 and 8463 is 71554665.
2. What are the Factors of 8455?
Answer: Factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455. There are 8 integers that are factors of 8455. The greatest factor of 8455 is 8455.
3. What are the Factors of 8463?
Answer: Factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463. There are 16 integers that are factors of 8463. The greatest factor of 8463 is 8463.
4. How to Find the LCM of 8455 and 8463?
Answer:
Least Common Multiple of 8455 and 8463 = 71554665
Step 1: Find the prime factorization of 8455
8455 = 5 x 19 x 89
Step 2: Find the prime factorization of 8463
8463 = 3 x 7 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71554665 = 3 x 5 x 7 x 13 x 19 x 31 x 89
Step 4: Therefore, the least common multiple of 8455 and 8463 is 71554665.