Least Common Multiple of 10150 and 10157
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10150 and 10157 the smallest integer that is 14727650 that is divisible by both numbers.
Least Common Multiple (LCM) of 10150 and 10157 is 14727650.
LCM(10150,10157) = 14727650
LCM of 10150 and 10157
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10150 and 10157 by Prime method
- Least Common Multiple of 10150 and 10157 with GCF Formula
LCM of 10150 and 10157 is 14727650
Least common multiple can be found by multiplying the highest exponent prime factors of 10150 and 10157. First we will calculate the prime factors of 10150 and 10157.
Prime Factorization of 10150
| 2 | 10150 |
| 5 | 5075 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 10150 are 2, 5, 7,29. Prime factorization of 10150 in exponential form is:
10150 = 21×52×71×291
Prime Factorization of 10157
| 7 | 10157 |
| 1451 | 1451 |
| 1 |
Prime factors of 10157 are 7,1451. Prime factorization of 10157 in exponential form is:
10157 = 71×14511
Now multiplying the highest exponent prime factors to calculate the LCM of 10150 and 10157.
LCM(10150,10157) = 21×52×71×291×14511
LCM(10150,10157) = 14727650
Factors of 10150
List of positive integer factors of 10150 that divides 10150 without a remainder.
1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150
Factors of 10157
List of positive integer factors of 10157 that divides 10157 without a remainder.
1, 7, 1451, 10157
Least Common Multiple of 10150 and 10157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10150 and 10157, than apply into the LCM equation.
GCF(10150,10157) = 7
LCM(10150,10157) = ( 10150 × 10157) / 7
LCM(10150,10157) = 103093550 / 7
LCM(10150,10157) = 14727650
Properties of LCM 10150 and 10157
(i) The LCM of 10157 and 10150 is associative
LCM of 10150 and 10157 = LCM of 10157 and 10150
Related Least Common Multiples of 10150
Related Least Common Multiples of 10157
Frequently Asked Questions on LCM of 10150 and 10157
1. What is the LCM of 10150 and 10157?
Answer: LCM of 10150 and 10157 is 14727650.
2. What are the Factors of 10150?
Answer: Factors of 10150 are 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150. There are 24 integers that are factors of 10150. The greatest factor of 10150 is 10150.
3. What are the Factors of 10157?
Answer: Factors of 10157 are 1, 7, 1451, 10157. There are 4 integers that are factors of 10157. The greatest factor of 10157 is 10157.
4. How to Find the LCM of 10150 and 10157?
Answer:
Least Common Multiple of 10150 and 10157 = 14727650
Step 1: Find the prime factorization of 10150
10150 = 2 x 5 x 5 x 7 x 29
Step 2: Find the prime factorization of 10157
10157 = 7 x 1451
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14727650 = 2 x 5 x 5 x 7 x 29 x 1451
Step 4: Therefore, the least common multiple of 10150 and 10157 is 14727650.