Least Common Multiple of 15334 and 15339

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

• Least Common Multiple of 15334 and 15339 by Prime method
• Least Common Multiple of 15334 and 15339 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15334 and 15339. First we will calculate the prime factors of 15334 and 15339.

Prime Factorization of 15334

Prime factors of 15334 are 2, 11, 17,41. Prime factorization of 15334 in exponential form is:

15334 = 2¹×11¹×17¹×41¹

Prime Factorization of 15339

Prime factors of 15339 are 3,5113. Prime factorization of 15339 in exponential form is:

15339 = 3¹×5113¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15334 and 15339.

LCM(15334,15339) = 2¹×3¹×11¹×17¹×41¹×5113¹
LCM(15334,15339) = 235208226

Factors of 15334

List of positive integer factors of 15334 that divides 15334 without a remainder.

1, 2, 11, 17, 22, 34, 41, 82, 187, 374, 451, 697, 902, 1394, 7667, 15334

Factors of 15339

List of positive integer factors of 15339 that divides 15339 without a remainder.

1, 3, 5113, 15339

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15334 and 15339, than apply into the LCM equation.

GCF(15334,15339) = 1
LCM(15334,15339) = ( 15334 × 15339) / 1
LCM(15334,15339) = 235208226 / 1
LCM(15334,15339) = 235208226

(i) The LCM of 15339 and 15334 is associative

LCM of 15334 and 15339 = LCM of 15339 and 15334

1. What is the LCM of 15334 and 15339?

Answer: LCM of 15334 and 15339 is 235208226.

2. What are the Factors of 15334?

Answer: Factors of 15334 are 1, 2, 11, 17, 22, 34, 41, 82, 187, 374, 451, 697, 902, 1394, 7667, 15334. There are 16 integers that are factors of 15334. The greatest factor of 15334 is 15334.

3. What are the Factors of 15339?

Answer: Factors of 15339 are 1, 3, 5113, 15339. There are 4 integers that are factors of 15339. The greatest factor of 15339 is 15339.

4. How to Find the LCM of 15334 and 15339?

Answer:

Least Common Multiple of 15334 and 15339 = 235208226

Step 1: Find the prime factorization of 15334

15334 = 2 x 11 x 17 x 41

Step 2: Find the prime factorization of 15339

15339 = 3 x 5113

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

LCM = 235208226 = 2 x 3 x 11 x 17 x 41 x 5113

Step 4: Therefore, the least common multiple of 15334 and 15339 is 235208226.