Least Common Multiple of 15245 and 15249

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

• Least Common Multiple of 15245 and 15249 by Prime method
• Least Common Multiple of 15245 and 15249 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15245 and 15249. First we will calculate the prime factors of 15245 and 15249.

Prime Factorization of 15245

Prime factors of 15245 are 5,3049. Prime factorization of 15245 in exponential form is:

15245 = 5¹×3049¹

Prime Factorization of 15249

Prime factors of 15249 are 3, 13, 17,23. Prime factorization of 15249 in exponential form is:

15249 = 3¹×13¹×17¹×23¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15245 and 15249.

LCM(15245,15249) = 3¹×5¹×13¹×17¹×23¹×3049¹
LCM(15245,15249) = 232471005

Factors of 15245

List of positive integer factors of 15245 that divides 15245 without a remainder.

1, 5, 3049, 15245

Factors of 15249

List of positive integer factors of 15249 that divides 15249 without a remainder.

1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083, 15249

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15245 and 15249, than apply into the LCM equation.

GCF(15245,15249) = 1
LCM(15245,15249) = ( 15245 × 15249) / 1
LCM(15245,15249) = 232471005 / 1
LCM(15245,15249) = 232471005

(i) The LCM of 15249 and 15245 is associative

LCM of 15245 and 15249 = LCM of 15249 and 15245

1. What is the LCM of 15245 and 15249?

Answer: LCM of 15245 and 15249 is 232471005.

2. What are the Factors of 15245?

Answer: Factors of 15245 are 1, 5, 3049, 15245. There are 4 integers that are factors of 15245. The greatest factor of 15245 is 15245.

3. What are the Factors of 15249?

Answer: Factors of 15249 are 1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083, 15249. There are 16 integers that are factors of 15249. The greatest factor of 15249 is 15249.

4. How to Find the LCM of 15245 and 15249?

Answer:

Least Common Multiple of 15245 and 15249 = 232471005

Step 1: Find the prime factorization of 15245

15245 = 5 x 3049

Step 2: Find the prime factorization of 15249

15249 = 3 x 13 x 17 x 23

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

LCM = 232471005 = 3 x 5 x 13 x 17 x 23 x 3049

Step 4: Therefore, the least common multiple of 15245 and 15249 is 232471005.