Least Common Multiple of 15348 and 15353

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

• Least Common Multiple of 15348 and 15353 by Prime method
• Least Common Multiple of 15348 and 15353 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15348 and 15353. First we will calculate the prime factors of 15348 and 15353.

Prime Factorization of 15348

Prime factors of 15348 are 2, 3,1279. Prime factorization of 15348 in exponential form is:

15348 = 2²×3¹×1279¹

Prime Factorization of 15353

Prime factors of 15353 are 13,1181. Prime factorization of 15353 in exponential form is:

15353 = 13¹×1181¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15348 and 15353.

LCM(15348,15353) = 2²×3¹×13¹×1181¹×1279¹
LCM(15348,15353) = 235637844

Factors of 15348

List of positive integer factors of 15348 that divides 15348 without a remainder.

1, 2, 3, 4, 6, 12, 1279, 2558, 3837, 5116, 7674, 15348

Factors of 15353

List of positive integer factors of 15353 that divides 15353 without a remainder.

1, 13, 1181, 15353

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15348 and 15353, than apply into the LCM equation.

GCF(15348,15353) = 1
LCM(15348,15353) = ( 15348 × 15353) / 1
LCM(15348,15353) = 235637844 / 1
LCM(15348,15353) = 235637844

(i) The LCM of 15353 and 15348 is associative

LCM of 15348 and 15353 = LCM of 15353 and 15348

1. What is the LCM of 15348 and 15353?

Answer: LCM of 15348 and 15353 is 235637844.

2. What are the Factors of 15348?

Answer: Factors of 15348 are 1, 2, 3, 4, 6, 12, 1279, 2558, 3837, 5116, 7674, 15348. There are 12 integers that are factors of 15348. The greatest factor of 15348 is 15348.

3. What are the Factors of 15353?

Answer: Factors of 15353 are 1, 13, 1181, 15353. There are 4 integers that are factors of 15353. The greatest factor of 15353 is 15353.

4. How to Find the LCM of 15348 and 15353?

Answer:

Least Common Multiple of 15348 and 15353 = 235637844

Step 1: Find the prime factorization of 15348

15348 = 2 x 2 x 3 x 1279

Step 2: Find the prime factorization of 15353

15353 = 13 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 = 235637844 = 2 x 2 x 3 x 13 x 1181 x 1279

Step 4: Therefore, the least common multiple of 15348 and 15353 is 235637844.