Least Common Multiple of 39255 and 39257

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

• Least Common Multiple of 39255 and 39257 by Prime method
• Least Common Multiple of 39255 and 39257 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39255 and 39257. First we will calculate the prime factors of 39255 and 39257.

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 39257

Prime factors of 39257 are 37,1061. Prime factorization of 39257 in exponential form is:

39257 = 37¹×1061¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39255 and 39257.

LCM(39255,39257) = 3¹×5¹×37¹×1061¹×2617¹
LCM(39255,39257) = 1541033535

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 39257

List of positive integer factors of 39257 that divides 39257 without a remainder.

1, 37, 1061, 39257

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39255 and 39257, than apply into the LCM equation.

GCF(39255,39257) = 1
LCM(39255,39257) = ( 39255 × 39257) / 1
LCM(39255,39257) = 1541033535 / 1
LCM(39255,39257) = 1541033535

(i) The LCM of 39257 and 39255 is associative

LCM of 39255 and 39257 = LCM of 39257 and 39255

1. What is the LCM of 39255 and 39257?

Answer: LCM of 39255 and 39257 is 1541033535.

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 39257?

Answer: Factors of 39257 are 1, 37, 1061, 39257. There are 4 integers that are factors of 39257. The greatest factor of 39257 is 39257.

4. How to Find the LCM of 39255 and 39257?

Answer:

Least Common Multiple of 39255 and 39257 = 1541033535

Step 1: Find the prime factorization of 39255

39255 = 3 x 5 x 2617

Step 2: Find the prime factorization of 39257

39257 = 37 x 1061

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

LCM = 1541033535 = 3 x 5 x 37 x 1061 x 2617

Step 4: Therefore, the least common multiple of 39255 and 39257 is 1541033535.