Least Common Multiple of 15249 and 15253

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

• Least Common Multiple of 15249 and 15253 by Prime method
• Least Common Multiple of 15249 and 15253 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15249 and 15253. First we will calculate the prime factors of 15249 and 15253.

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

Prime Factorization of 15253

Prime factors of 15253 are 7,2179. Prime factorization of 15253 in exponential form is:

15253 = 7¹×2179¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15249 and 15253.

LCM(15249,15253) = 3¹×7¹×13¹×17¹×23¹×2179¹
LCM(15249,15253) = 232592997

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

Factors of 15253

List of positive integer factors of 15253 that divides 15253 without a remainder.

1, 7, 2179, 15253

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15249 and 15253, than apply into the LCM equation.

GCF(15249,15253) = 1
LCM(15249,15253) = ( 15249 × 15253) / 1
LCM(15249,15253) = 232592997 / 1
LCM(15249,15253) = 232592997

(i) The LCM of 15253 and 15249 is associative

LCM of 15249 and 15253 = LCM of 15253 and 15249

1. What is the LCM of 15249 and 15253?

Answer: LCM of 15249 and 15253 is 232592997.

2. 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.

3. What are the Factors of 15253?

Answer: Factors of 15253 are 1, 7, 2179, 15253. There are 4 integers that are factors of 15253. The greatest factor of 15253 is 15253.

4. How to Find the LCM of 15249 and 15253?

Answer:

Least Common Multiple of 15249 and 15253 = 232592997

Step 1: Find the prime factorization of 15249

15249 = 3 x 13 x 17 x 23

Step 2: Find the prime factorization of 15253

15253 = 7 x 2179

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

LCM = 232592997 = 3 x 7 x 13 x 17 x 23 x 2179

Step 4: Therefore, the least common multiple of 15249 and 15253 is 232592997.