Least Common Multiple of 39255 and 39259

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

• Least Common Multiple of 39255 and 39259 by Prime method
• Least Common Multiple of 39255 and 39259 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39255 and 39259. First we will calculate the prime factors of 39255 and 39259.

Prime Factorization of 39255

Prime factors of 39255 are 3, 5,2617. Prime factorization of 39255 in exponential form is:

39255 = 3¹×5¹×2617¹

Prime Factorization of 39259

Prime factors of 39259 are 11, 43,83. Prime factorization of 39259 in exponential form is:

39259 = 11¹×43¹×83¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39255 and 39259.

LCM(39255,39259) = 3¹×5¹×11¹×43¹×83¹×2617¹
LCM(39255,39259) = 1541112045

Factors of 39255

List of positive integer factors of 39255 that divides 39255 without a remainder.

1, 3, 5, 15, 2617, 7851, 13085, 39255

Factors of 39259

List of positive integer factors of 39259 that divides 39259 without a remainder.

1, 11, 43, 83, 473, 913, 3569, 39259

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39255 and 39259, than apply into the LCM equation.

GCF(39255,39259) = 1
LCM(39255,39259) = ( 39255 × 39259) / 1
LCM(39255,39259) = 1541112045 / 1
LCM(39255,39259) = 1541112045

(i) The LCM of 39259 and 39255 is associative

LCM of 39255 and 39259 = LCM of 39259 and 39255

1. What is the LCM of 39255 and 39259?

Answer: LCM of 39255 and 39259 is 1541112045.

2. What are the Factors of 39255?

Answer: Factors of 39255 are 1, 3, 5, 15, 2617, 7851, 13085, 39255. There are 8 integers that are factors of 39255. The greatest factor of 39255 is 39255.

3. What are the Factors of 39259?

Answer: Factors of 39259 are 1, 11, 43, 83, 473, 913, 3569, 39259. There are 8 integers that are factors of 39259. The greatest factor of 39259 is 39259.

4. How to Find the LCM of 39255 and 39259?

Answer:

Least Common Multiple of 39255 and 39259 = 1541112045

Step 1: Find the prime factorization of 39255

39255 = 3 x 5 x 2617

Step 2: Find the prime factorization of 39259

39259 = 11 x 43 x 83

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

LCM = 1541112045 = 3 x 5 x 11 x 43 x 83 x 2617

Step 4: Therefore, the least common multiple of 39255 and 39259 is 1541112045.