Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34238 and 34242 the smallest integer that is 586188798 that is divisible by both numbers.
Least Common Multiple (LCM) of 34238 and 34242 is 586188798.
LCM(34238,34242) = 586188798
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 34238 and 34242. First we will calculate the prime factors of 34238 and 34242.
Prime Factorization of 34238
2 | 34238 |
17 | 17119 |
19 | 1007 |
53 | 53 |
1 |
Prime factors of 34238 are 2, 17, 19,53. Prime factorization of 34238 in exponential form is:
34238 = 21×171×191×531
Prime Factorization of 34242
2 | 34242 |
3 | 17121 |
13 | 5707 |
439 | 439 |
1 |
Prime factors of 34242 are 2, 3, 13,439. Prime factorization of 34242 in exponential form is:
34242 = 21×31×131×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 34238 and 34242.
LCM(34238,34242) = 21×31×131×171×191×531×4391
LCM(34238,34242) = 586188798
Factors of 34238
List of positive integer factors of 34238 that divides 34238 without a remainder.
1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119, 34238
Factors of 34242
List of positive integer factors of 34242 that divides 34242 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 439, 878, 1317, 2634, 5707, 11414, 17121, 34242
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34238 and 34242, than apply into the LCM equation.
GCF(34238,34242) = 2
LCM(34238,34242) = ( 34238 × 34242) / 2
LCM(34238,34242) = 1172377596 / 2
LCM(34238,34242) = 586188798
(i) The LCM of 34242 and 34238 is associative
LCM of 34238 and 34242 = LCM of 34242 and 34238
1. What is the LCM of 34238 and 34242?
Answer: LCM of 34238 and 34242 is 586188798.
2. What are the Factors of 34238?
Answer: Factors of 34238 are 1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119, 34238. There are 16 integers that are factors of 34238. The greatest factor of 34238 is 34238.
3. What are the Factors of 34242?
Answer: Factors of 34242 are 1, 2, 3, 6, 13, 26, 39, 78, 439, 878, 1317, 2634, 5707, 11414, 17121, 34242. There are 16 integers that are factors of 34242. The greatest factor of 34242 is 34242.
4. How to Find the LCM of 34238 and 34242?
Answer:
Least Common Multiple of 34238 and 34242 = 586188798
Step 1: Find the prime factorization of 34238
34238 = 2 x 17 x 19 x 53
Step 2: Find the prime factorization of 34242
34242 = 2 x 3 x 13 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 586188798 = 2 x 3 x 13 x 17 x 19 x 53 x 439
Step 4: Therefore, the least common multiple of 34238 and 34242 is 586188798.