Least Common Multiple of 8450 and 8455
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8450 and 8455 the smallest integer that is 14288950 that is divisible by both numbers.
Least Common Multiple (LCM) of 8450 and 8455 is 14288950.
LCM(8450,8455) = 14288950
LCM of 8450 and 8455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8450 and 8455 by Prime method
- Least Common Multiple of 8450 and 8455 with GCF Formula
LCM of 8450 and 8455 is 14288950
Least common multiple can be found by multiplying the highest exponent prime factors of 8450 and 8455. First we will calculate the prime factors of 8450 and 8455.
Prime Factorization of 8450
| 2 | 8450 |
| 5 | 4225 |
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 8450 are 2, 5,13. Prime factorization of 8450 in exponential form is:
8450 = 21×52×132
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8450 and 8455.
LCM(8450,8455) = 21×52×132×191×891
LCM(8450,8455) = 14288950
Factors of 8450
List of positive integer factors of 8450 that divides 8450 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
Factors of 8455
List of positive integer factors of 8455 that divides 8455 without a remainder.
1, 5, 19, 89, 95, 445, 1691, 8455
Least Common Multiple of 8450 and 8455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8450 and 8455, than apply into the LCM equation.
GCF(8450,8455) = 5
LCM(8450,8455) = ( 8450 × 8455) / 5
LCM(8450,8455) = 71444750 / 5
LCM(8450,8455) = 14288950
Properties of LCM 8450 and 8455
(i) The LCM of 8455 and 8450 is associative
LCM of 8450 and 8455 = LCM of 8455 and 8450
Related Least Common Multiples of 8450
Related Least Common Multiples of 8455
Frequently Asked Questions on LCM of 8450 and 8455
1. What is the LCM of 8450 and 8455?
Answer: LCM of 8450 and 8455 is 14288950.
2. What are the Factors of 8450?
Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.
3. 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.
4. How to Find the LCM of 8450 and 8455?
Answer:
Least Common Multiple of 8450 and 8455 = 14288950
Step 1: Find the prime factorization of 8450
8450 = 2 x 5 x 5 x 13 x 13
Step 2: Find the prime factorization of 8455
8455 = 5 x 19 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14288950 = 2 x 5 x 5 x 13 x 13 x 19 x 89
Step 4: Therefore, the least common multiple of 8450 and 8455 is 14288950.