Least Common Multiple of 10311 and 10318
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 10318 the smallest integer that is 15198414 that is divisible by both numbers.
Least Common Multiple (LCM) of 10311 and 10318 is 15198414.
LCM(10311,10318) = 15198414
LCM of 10311 and 10318
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10311 and 10318 by Prime method
- Least Common Multiple of 10311 and 10318 with GCF Formula
LCM of 10311 and 10318 is 15198414
Least common multiple can be found by multiplying the highest exponent prime factors of 10311 and 10318. First we will calculate the prime factors of 10311 and 10318.
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 10318
| 2 | 10318 |
| 7 | 5159 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 10318 are 2, 7, 11,67. Prime factorization of 10318 in exponential form is:
10318 = 21×71×111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 10311 and 10318.
LCM(10311,10318) = 21×31×71×111×671×4911
LCM(10311,10318) = 15198414
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 10318
List of positive integer factors of 10318 that divides 10318 without a remainder.
1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318
Least Common Multiple of 10311 and 10318 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 10318, than apply into the LCM equation.
GCF(10311,10318) = 7
LCM(10311,10318) = ( 10311 × 10318) / 7
LCM(10311,10318) = 106388898 / 7
LCM(10311,10318) = 15198414
Properties of LCM 10311 and 10318
(i) The LCM of 10318 and 10311 is associative
LCM of 10311 and 10318 = LCM of 10318 and 10311
Related Least Common Multiples of 10311
Related Least Common Multiples of 10318
Frequently Asked Questions on LCM of 10311 and 10318
1. What is the LCM of 10311 and 10318?
Answer: LCM of 10311 and 10318 is 15198414.
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 10318?
Answer: Factors of 10318 are 1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318. There are 16 integers that are factors of 10318. The greatest factor of 10318 is 10318.
4. How to Find the LCM of 10311 and 10318?
Answer:
Least Common Multiple of 10311 and 10318 = 15198414
Step 1: Find the prime factorization of 10311
10311 = 3 x 7 x 491
Step 2: Find the prime factorization of 10318
10318 = 2 x 7 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15198414 = 2 x 3 x 7 x 11 x 67 x 491
Step 4: Therefore, the least common multiple of 10311 and 10318 is 15198414.