Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10342 and 10349 the smallest integer that is 107029358 that is divisible by both numbers.
Least Common Multiple (LCM) of 10342 and 10349 is 107029358.
LCM(10342,10349) = 107029358
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 10342 and 10349. First we will calculate the prime factors of 10342 and 10349.
Prime Factorization of 10342
2 | 10342 |
5171 | 5171 |
1 |
Prime factors of 10342 are 2,5171. Prime factorization of 10342 in exponential form is:
10342 = 21×51711
Prime Factorization of 10349
79 | 10349 |
131 | 131 |
1 |
Prime factors of 10349 are 79,131. Prime factorization of 10349 in exponential form is:
10349 = 791×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 10342 and 10349.
LCM(10342,10349) = 21×791×1311×51711
LCM(10342,10349) = 107029358
Factors of 10342
List of positive integer factors of 10342 that divides 10342 without a remainder.
1, 2, 5171, 10342
Factors of 10349
List of positive integer factors of 10349 that divides 10349 without a remainder.
1, 79, 131, 10349
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10342 and 10349, than apply into the LCM equation.
GCF(10342,10349) = 1
LCM(10342,10349) = ( 10342 × 10349) / 1
LCM(10342,10349) = 107029358 / 1
LCM(10342,10349) = 107029358
(i) The LCM of 10349 and 10342 is associative
LCM of 10342 and 10349 = LCM of 10349 and 10342
1. What is the LCM of 10342 and 10349?
Answer: LCM of 10342 and 10349 is 107029358.
2. What are the Factors of 10342?
Answer: Factors of 10342 are 1, 2, 5171, 10342. There are 4 integers that are factors of 10342. The greatest factor of 10342 is 10342.
3. What are the Factors of 10349?
Answer: Factors of 10349 are 1, 79, 131, 10349. There are 4 integers that are factors of 10349. The greatest factor of 10349 is 10349.
4. How to Find the LCM of 10342 and 10349?
Answer:
Least Common Multiple of 10342 and 10349 = 107029358
Step 1: Find the prime factorization of 10342
10342 = 2 x 5171
Step 2: Find the prime factorization of 10349
10349 = 79 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 107029358 = 2 x 79 x 131 x 5171
Step 4: Therefore, the least common multiple of 10342 and 10349 is 107029358.