Least Common Multiple of 10178 and 10185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10178 and 10185 the smallest integer that is 14808990 that is divisible by both numbers.
Least Common Multiple (LCM) of 10178 and 10185 is 14808990.
LCM(10178,10185) = 14808990
LCM of 10178 and 10185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10178 and 10185 by Prime method
- Least Common Multiple of 10178 and 10185 with GCF Formula
LCM of 10178 and 10185 is 14808990
Least common multiple can be found by multiplying the highest exponent prime factors of 10178 and 10185. First we will calculate the prime factors of 10178 and 10185.
Prime Factorization of 10178
| 2 | 10178 |
| 7 | 5089 |
| 727 | 727 |
| 1 |
Prime factors of 10178 are 2, 7,727. Prime factorization of 10178 in exponential form is:
10178 = 21×71×7271
Prime Factorization of 10185
| 3 | 10185 |
| 5 | 3395 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 10185 are 3, 5, 7,97. Prime factorization of 10185 in exponential form is:
10185 = 31×51×71×971
Now multiplying the highest exponent prime factors to calculate the LCM of 10178 and 10185.
LCM(10178,10185) = 21×31×51×71×971×7271
LCM(10178,10185) = 14808990
Factors of 10178
List of positive integer factors of 10178 that divides 10178 without a remainder.
1, 2, 7, 14, 727, 1454, 5089, 10178
Factors of 10185
List of positive integer factors of 10185 that divides 10185 without a remainder.
1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185
Least Common Multiple of 10178 and 10185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10178 and 10185, than apply into the LCM equation.
GCF(10178,10185) = 7
LCM(10178,10185) = ( 10178 × 10185) / 7
LCM(10178,10185) = 103662930 / 7
LCM(10178,10185) = 14808990
Properties of LCM 10178 and 10185
(i) The LCM of 10185 and 10178 is associative
LCM of 10178 and 10185 = LCM of 10185 and 10178
Related Least Common Multiples of 10178
Related Least Common Multiples of 10185
Frequently Asked Questions on LCM of 10178 and 10185
1. What is the LCM of 10178 and 10185?
Answer: LCM of 10178 and 10185 is 14808990.
2. What are the Factors of 10178?
Answer: Factors of 10178 are 1, 2, 7, 14, 727, 1454, 5089, 10178. There are 8 integers that are factors of 10178. The greatest factor of 10178 is 10178.
3. What are the Factors of 10185?
Answer: Factors of 10185 are 1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185. There are 16 integers that are factors of 10185. The greatest factor of 10185 is 10185.
4. How to Find the LCM of 10178 and 10185?
Answer:
Least Common Multiple of 10178 and 10185 = 14808990
Step 1: Find the prime factorization of 10178
10178 = 2 x 7 x 727
Step 2: Find the prime factorization of 10185
10185 = 3 x 5 x 7 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14808990 = 2 x 3 x 5 x 7 x 97 x 727
Step 4: Therefore, the least common multiple of 10178 and 10185 is 14808990.