Least Common Multiple of 10315 and 10319
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10315 and 10319 the smallest integer that is 106440485 that is divisible by both numbers.
Least Common Multiple (LCM) of 10315 and 10319 is 106440485.
LCM(10315,10319) = 106440485
LCM of 10315 and 10319
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10315 and 10319 by Prime method
- Least Common Multiple of 10315 and 10319 with GCF Formula
LCM of 10315 and 10319 is 106440485
Least common multiple can be found by multiplying the highest exponent prime factors of 10315 and 10319. First we will calculate the prime factors of 10315 and 10319.
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
Prime Factorization of 10319
| 17 | 10319 |
| 607 | 607 |
| 1 |
Prime factors of 10319 are 17,607. Prime factorization of 10319 in exponential form is:
10319 = 171×6071
Now multiplying the highest exponent prime factors to calculate the LCM of 10315 and 10319.
LCM(10315,10319) = 51×171×6071×20631
LCM(10315,10319) = 106440485
Factors of 10315
List of positive integer factors of 10315 that divides 10315 without a remainder.
1, 5, 2063, 10315
Factors of 10319
List of positive integer factors of 10319 that divides 10319 without a remainder.
1, 17, 607, 10319
Least Common Multiple of 10315 and 10319 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10315 and 10319, than apply into the LCM equation.
GCF(10315,10319) = 1
LCM(10315,10319) = ( 10315 × 10319) / 1
LCM(10315,10319) = 106440485 / 1
LCM(10315,10319) = 106440485
Properties of LCM 10315 and 10319
(i) The LCM of 10319 and 10315 is associative
LCM of 10315 and 10319 = LCM of 10319 and 10315
Related Least Common Multiples of 10315
Related Least Common Multiples of 10319
Frequently Asked Questions on LCM of 10315 and 10319
1. What is the LCM of 10315 and 10319?
Answer: LCM of 10315 and 10319 is 106440485.
2. 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.
3. What are the Factors of 10319?
Answer: Factors of 10319 are 1, 17, 607, 10319. There are 4 integers that are factors of 10319. The greatest factor of 10319 is 10319.
4. How to Find the LCM of 10315 and 10319?
Answer:
Least Common Multiple of 10315 and 10319 = 106440485
Step 1: Find the prime factorization of 10315
10315 = 5 x 2063
Step 2: Find the prime factorization of 10319
10319 = 17 x 607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106440485 = 5 x 17 x 607 x 2063
Step 4: Therefore, the least common multiple of 10315 and 10319 is 106440485.