Least Common Multiple of 10343 and 10350
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10343 and 10350 the smallest integer that is 107050050 that is divisible by both numbers.
Least Common Multiple (LCM) of 10343 and 10350 is 107050050.
LCM(10343,10350) = 107050050
LCM of 10343 and 10350
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10343 and 10350 by Prime method
- Least Common Multiple of 10343 and 10350 with GCF Formula
LCM of 10343 and 10350 is 107050050
Least common multiple can be found by multiplying the highest exponent prime factors of 10343 and 10350. First we will calculate the prime factors of 10343 and 10350.
Prime Factorization of 10343
| 10343 | 10343 |
| 1 |
Prime factors of 10343 are 10343. Prime factorization of 10343 in exponential form is:
10343 = 103431
Prime Factorization of 10350
| 2 | 10350 |
| 3 | 5175 |
| 3 | 1725 |
| 5 | 575 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 10350 are 2, 3, 5,23. Prime factorization of 10350 in exponential form is:
10350 = 21×32×52×231
Now multiplying the highest exponent prime factors to calculate the LCM of 10343 and 10350.
LCM(10343,10350) = 21×32×52×231×103431
LCM(10343,10350) = 107050050
Factors of 10343
List of positive integer factors of 10343 that divides 10343 without a remainder.
1, 10343
Factors of 10350
List of positive integer factors of 10350 that divides 10350 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 138, 150, 207, 225, 230, 345, 414, 450, 575, 690, 1035, 1150, 1725, 2070, 3450, 5175, 10350
Least Common Multiple of 10343 and 10350 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10343 and 10350, than apply into the LCM equation.
GCF(10343,10350) = 1
LCM(10343,10350) = ( 10343 × 10350) / 1
LCM(10343,10350) = 107050050 / 1
LCM(10343,10350) = 107050050
Properties of LCM 10343 and 10350
(i) The LCM of 10350 and 10343 is associative
LCM of 10343 and 10350 = LCM of 10350 and 10343
Related Least Common Multiples of 10343
Related Least Common Multiples of 10350
Frequently Asked Questions on LCM of 10343 and 10350
1. What is the LCM of 10343 and 10350?
Answer: LCM of 10343 and 10350 is 107050050.
2. What are the Factors of 10343?
Answer: Factors of 10343 are 1, 10343. There are 2 integers that are factors of 10343. The greatest factor of 10343 is 10343.
3. What are the Factors of 10350?
Answer: Factors of 10350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 138, 150, 207, 225, 230, 345, 414, 450, 575, 690, 1035, 1150, 1725, 2070, 3450, 5175, 10350. There are 36 integers that are factors of 10350. The greatest factor of 10350 is 10350.
4. How to Find the LCM of 10343 and 10350?
Answer:
Least Common Multiple of 10343 and 10350 = 107050050
Step 1: Find the prime factorization of 10343
10343 = 10343
Step 2: Find the prime factorization of 10350
10350 = 2 x 3 x 3 x 5 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 107050050 = 2 x 3 x 3 x 5 x 5 x 23 x 10343
Step 4: Therefore, the least common multiple of 10343 and 10350 is 107050050.