Least Common Multiple of 8950 and 8957
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8950 and 8957 the smallest integer that is 80165150 that is divisible by both numbers.
Least Common Multiple (LCM) of 8950 and 8957 is 80165150.
LCM(8950,8957) = 80165150
LCM of 8950 and 8957
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8950 and 8957 by Prime method
- Least Common Multiple of 8950 and 8957 with GCF Formula
LCM of 8950 and 8957 is 80165150
Least common multiple can be found by multiplying the highest exponent prime factors of 8950 and 8957. First we will calculate the prime factors of 8950 and 8957.
Prime Factorization of 8950
| 2 | 8950 |
| 5 | 4475 |
| 5 | 895 |
| 179 | 179 |
| 1 |
Prime factors of 8950 are 2, 5,179. Prime factorization of 8950 in exponential form is:
8950 = 21×52×1791
Prime Factorization of 8957
| 13 | 8957 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 8957 are 13,53. Prime factorization of 8957 in exponential form is:
8957 = 132×531
Now multiplying the highest exponent prime factors to calculate the LCM of 8950 and 8957.
LCM(8950,8957) = 21×52×132×531×1791
LCM(8950,8957) = 80165150
Factors of 8950
List of positive integer factors of 8950 that divides 8950 without a remainder.
1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950
Factors of 8957
List of positive integer factors of 8957 that divides 8957 without a remainder.
1, 13, 53, 169, 689, 8957
Least Common Multiple of 8950 and 8957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8950 and 8957, than apply into the LCM equation.
GCF(8950,8957) = 1
LCM(8950,8957) = ( 8950 × 8957) / 1
LCM(8950,8957) = 80165150 / 1
LCM(8950,8957) = 80165150
Properties of LCM 8950 and 8957
(i) The LCM of 8957 and 8950 is associative
LCM of 8950 and 8957 = LCM of 8957 and 8950
Related Least Common Multiples of 8950
Related Least Common Multiples of 8957
Frequently Asked Questions on LCM of 8950 and 8957
1. What is the LCM of 8950 and 8957?
Answer: LCM of 8950 and 8957 is 80165150.
2. What are the Factors of 8950?
Answer: Factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950. There are 12 integers that are factors of 8950. The greatest factor of 8950 is 8950.
3. What are the Factors of 8957?
Answer: Factors of 8957 are 1, 13, 53, 169, 689, 8957. There are 6 integers that are factors of 8957. The greatest factor of 8957 is 8957.
4. How to Find the LCM of 8950 and 8957?
Answer:
Least Common Multiple of 8950 and 8957 = 80165150
Step 1: Find the prime factorization of 8950
8950 = 2 x 5 x 5 x 179
Step 2: Find the prime factorization of 8957
8957 = 13 x 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80165150 = 2 x 5 x 5 x 13 x 13 x 53 x 179
Step 4: Therefore, the least common multiple of 8950 and 8957 is 80165150.