Least Common Multiple of 34238 and 34242

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

LCM of 34238 and 34242

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 34238 and 34242

LCM of 34238 and 34242 is 586188798

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

Least Common Multiple of 34238 and 34242 with GCF Formula

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

Properties of LCM 34238 and 34242

(i) The LCM of 34242 and 34238 is associative

LCM of 34238 and 34242 = LCM of 34242 and 34238

Frequently Asked Questions on LCM of 34238 and 34242

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.