Least Common Multiple of 8450 and 8457
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 8457 the smallest integer that is 71461650 that is divisible by both numbers.
Least Common Multiple (LCM) of 8450 and 8457 is 71461650.
LCM(8450,8457) = 71461650
LCM of 8450 and 8457
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8450 and 8457 by Prime method
- Least Common Multiple of 8450 and 8457 with GCF Formula
LCM of 8450 and 8457 is 71461650
Least common multiple can be found by multiplying the highest exponent prime factors of 8450 and 8457. First we will calculate the prime factors of 8450 and 8457.
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 8457
| 3 | 8457 |
| 2819 | 2819 |
| 1 |
Prime factors of 8457 are 3,2819. Prime factorization of 8457 in exponential form is:
8457 = 31×28191
Now multiplying the highest exponent prime factors to calculate the LCM of 8450 and 8457.
LCM(8450,8457) = 21×31×52×132×28191
LCM(8450,8457) = 71461650
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 8457
List of positive integer factors of 8457 that divides 8457 without a remainder.
1, 3, 2819, 8457
Least Common Multiple of 8450 and 8457 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 8457, than apply into the LCM equation.
GCF(8450,8457) = 1
LCM(8450,8457) = ( 8450 × 8457) / 1
LCM(8450,8457) = 71461650 / 1
LCM(8450,8457) = 71461650
Properties of LCM 8450 and 8457
(i) The LCM of 8457 and 8450 is associative
LCM of 8450 and 8457 = LCM of 8457 and 8450
Related Least Common Multiples of 8450
Related Least Common Multiples of 8457
Frequently Asked Questions on LCM of 8450 and 8457
1. What is the LCM of 8450 and 8457?
Answer: LCM of 8450 and 8457 is 71461650.
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 8457?
Answer: Factors of 8457 are 1, 3, 2819, 8457. There are 4 integers that are factors of 8457. The greatest factor of 8457 is 8457.
4. How to Find the LCM of 8450 and 8457?
Answer:
Least Common Multiple of 8450 and 8457 = 71461650
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 8457
8457 = 3 x 2819
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71461650 = 2 x 3 x 5 x 5 x 13 x 13 x 2819
Step 4: Therefore, the least common multiple of 8450 and 8457 is 71461650.