Least Common Multiple of 34242 and 34249

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

• Least Common Multiple of 34242 and 34249 by Prime method
• Least Common Multiple of 34242 and 34249 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34242 and 34249. First we will calculate the prime factors of 34242 and 34249.

Prime Factorization of 34242

Prime factors of 34242 are 2, 3, 13,439. Prime factorization of 34242 in exponential form is:

34242 = 2¹×3¹×13¹×439¹

Prime Factorization of 34249

Prime factors of 34249 are 29,1181. Prime factorization of 34249 in exponential form is:

34249 = 29¹×1181¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34242 and 34249.

LCM(34242,34249) = 2¹×3¹×13¹×29¹×439¹×1181¹
LCM(34242,34249) = 1172754258

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

Factors of 34249

List of positive integer factors of 34249 that divides 34249 without a remainder.

1, 29, 1181, 34249

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34242 and 34249, than apply into the LCM equation.

GCF(34242,34249) = 1
LCM(34242,34249) = ( 34242 × 34249) / 1
LCM(34242,34249) = 1172754258 / 1
LCM(34242,34249) = 1172754258

(i) The LCM of 34249 and 34242 is associative

LCM of 34242 and 34249 = LCM of 34249 and 34242

1. What is the LCM of 34242 and 34249?

Answer: LCM of 34242 and 34249 is 1172754258.

2. 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.

3. What are the Factors of 34249?

Answer: Factors of 34249 are 1, 29, 1181, 34249. There are 4 integers that are factors of 34249. The greatest factor of 34249 is 34249.

4. How to Find the LCM of 34242 and 34249?

Answer:

Least Common Multiple of 34242 and 34249 = 1172754258

Step 1: Find the prime factorization of 34242

34242 = 2 x 3 x 13 x 439

Step 2: Find the prime factorization of 34249

34249 = 29 x 1181

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1172754258 = 2 x 3 x 13 x 29 x 439 x 1181

Step 4: Therefore, the least common multiple of 34242 and 34249 is 1172754258.