Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10338 and 10346 the smallest integer that is 53478474 that is divisible by both numbers.
Least Common Multiple (LCM) of 10338 and 10346 is 53478474.
LCM(10338,10346) = 53478474
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 10338 and 10346. First we will calculate the prime factors of 10338 and 10346.
Prime Factorization of 10338
2 | 10338 |
3 | 5169 |
1723 | 1723 |
1 |
Prime factors of 10338 are 2, 3,1723. Prime factorization of 10338 in exponential form is:
10338 = 21×31×17231
Prime Factorization of 10346
2 | 10346 |
7 | 5173 |
739 | 739 |
1 |
Prime factors of 10346 are 2, 7,739. Prime factorization of 10346 in exponential form is:
10346 = 21×71×7391
Now multiplying the highest exponent prime factors to calculate the LCM of 10338 and 10346.
LCM(10338,10346) = 21×31×71×7391×17231
LCM(10338,10346) = 53478474
Factors of 10338
List of positive integer factors of 10338 that divides 10338 without a remainder.
1, 2, 3, 6, 1723, 3446, 5169, 10338
Factors of 10346
List of positive integer factors of 10346 that divides 10346 without a remainder.
1, 2, 7, 14, 739, 1478, 5173, 10346
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10338 and 10346, than apply into the LCM equation.
GCF(10338,10346) = 2
LCM(10338,10346) = ( 10338 × 10346) / 2
LCM(10338,10346) = 106956948 / 2
LCM(10338,10346) = 53478474
(i) The LCM of 10346 and 10338 is associative
LCM of 10338 and 10346 = LCM of 10346 and 10338
1. What is the LCM of 10338 and 10346?
Answer: LCM of 10338 and 10346 is 53478474.
2. What are the Factors of 10338?
Answer: Factors of 10338 are 1, 2, 3, 6, 1723, 3446, 5169, 10338. There are 8 integers that are factors of 10338. The greatest factor of 10338 is 10338.
3. What are the Factors of 10346?
Answer: Factors of 10346 are 1, 2, 7, 14, 739, 1478, 5173, 10346. There are 8 integers that are factors of 10346. The greatest factor of 10346 is 10346.
4. How to Find the LCM of 10338 and 10346?
Answer:
Least Common Multiple of 10338 and 10346 = 53478474
Step 1: Find the prime factorization of 10338
10338 = 2 x 3 x 1723
Step 2: Find the prime factorization of 10346
10346 = 2 x 7 x 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53478474 = 2 x 3 x 7 x 739 x 1723
Step 4: Therefore, the least common multiple of 10338 and 10346 is 53478474.