Least Common Multiple of 34242 and 34247

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

• Least Common Multiple of 34242 and 34247 by Prime method
• Least Common Multiple of 34242 and 34247 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34242 and 34247. First we will calculate the prime factors of 34242 and 34247.

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 34247

Prime factors of 34247 are 23,1489. Prime factorization of 34247 in exponential form is:

34247 = 23¹×1489¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34242 and 34247.

LCM(34242,34247) = 2¹×3¹×13¹×23¹×439¹×1489¹
LCM(34242,34247) = 1172685774

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 34247

List of positive integer factors of 34247 that divides 34247 without a remainder.

1, 23, 1489, 34247

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34242 and 34247, than apply into the LCM equation.

GCF(34242,34247) = 1
LCM(34242,34247) = ( 34242 × 34247) / 1
LCM(34242,34247) = 1172685774 / 1
LCM(34242,34247) = 1172685774

(i) The LCM of 34247 and 34242 is associative

LCM of 34242 and 34247 = LCM of 34247 and 34242

1. What is the LCM of 34242 and 34247?

Answer: LCM of 34242 and 34247 is 1172685774.

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 34247?

Answer: Factors of 34247 are 1, 23, 1489, 34247. There are 4 integers that are factors of 34247. The greatest factor of 34247 is 34247.

4. How to Find the LCM of 34242 and 34247?

Answer:

Least Common Multiple of 34242 and 34247 = 1172685774

Step 1: Find the prime factorization of 34242

34242 = 2 x 3 x 13 x 439

Step 2: Find the prime factorization of 34247

34247 = 23 x 1489

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

LCM = 1172685774 = 2 x 3 x 13 x 23 x 439 x 1489

Step 4: Therefore, the least common multiple of 34242 and 34247 is 1172685774.