Least Common Multiple of 10311 and 10315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10311 and 10315 the smallest integer that is 106357965 that is divisible by both numbers.
Least Common Multiple (LCM) of 10311 and 10315 is 106357965.
LCM(10311,10315) = 106357965
LCM of 10311 and 10315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10311 and 10315 by Prime method
- Least Common Multiple of 10311 and 10315 with GCF Formula
LCM of 10311 and 10315 is 106357965
Least common multiple can be found by multiplying the highest exponent prime factors of 10311 and 10315. First we will calculate the prime factors of 10311 and 10315.
Prime Factorization of 10311
| 3 | 10311 |
| 7 | 3437 |
| 491 | 491 |
| 1 |
Prime factors of 10311 are 3, 7,491. Prime factorization of 10311 in exponential form is:
10311 = 31×71×4911
Prime Factorization of 10315
| 5 | 10315 |
| 2063 | 2063 |
| 1 |
Prime factors of 10315 are 5,2063. Prime factorization of 10315 in exponential form is:
10315 = 51×20631
Now multiplying the highest exponent prime factors to calculate the LCM of 10311 and 10315.
LCM(10311,10315) = 31×51×71×4911×20631
LCM(10311,10315) = 106357965
Factors of 10311
List of positive integer factors of 10311 that divides 10311 without a remainder.
1, 3, 7, 21, 491, 1473, 3437, 10311
Factors of 10315
List of positive integer factors of 10315 that divides 10315 without a remainder.
1, 5, 2063, 10315
Least Common Multiple of 10311 and 10315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10311 and 10315, than apply into the LCM equation.
GCF(10311,10315) = 1
LCM(10311,10315) = ( 10311 × 10315) / 1
LCM(10311,10315) = 106357965 / 1
LCM(10311,10315) = 106357965
Properties of LCM 10311 and 10315
(i) The LCM of 10315 and 10311 is associative
LCM of 10311 and 10315 = LCM of 10315 and 10311
Related Least Common Multiples of 10311
Related Least Common Multiples of 10315
Frequently Asked Questions on LCM of 10311 and 10315
1. What is the LCM of 10311 and 10315?
Answer: LCM of 10311 and 10315 is 106357965.
2. What are the Factors of 10311?
Answer: Factors of 10311 are 1, 3, 7, 21, 491, 1473, 3437, 10311. There are 8 integers that are factors of 10311. The greatest factor of 10311 is 10311.
3. What are the Factors of 10315?
Answer: Factors of 10315 are 1, 5, 2063, 10315. There are 4 integers that are factors of 10315. The greatest factor of 10315 is 10315.
4. How to Find the LCM of 10311 and 10315?
Answer:
Least Common Multiple of 10311 and 10315 = 106357965
Step 1: Find the prime factorization of 10311
10311 = 3 x 7 x 491
Step 2: Find the prime factorization of 10315
10315 = 5 x 2063
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106357965 = 3 x 5 x 7 x 491 x 2063
Step 4: Therefore, the least common multiple of 10311 and 10315 is 106357965.