Least Common Multiple of 39255 and 39261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39255 and 39261 the smallest integer that is 513730185 that is divisible by both numbers.

Least Common Multiple (LCM) of 39255 and 39261 is 513730185.

LCM(39255,39261) = 513730185

LCM of 39255 and 39261

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

LCM of:
and

Least Common Multiple of 39255 and 39261

LCM of 39255 and 39261 is 513730185

Least common multiple can be found by multiplying the highest exponent prime factors of 39255 and 39261. First we will calculate the prime factors of 39255 and 39261.

Prime Factorization of 39255


3 39255
5 13085
2617 2617
1

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

39255 = 31×51×26171

Prime Factorization of 39261


3 39261
23 13087
569 569
1

Prime factors of 39261 are 3, 23,569. Prime factorization of 39261 in exponential form is:

39261 = 31×231×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 39255 and 39261.

LCM(39255,39261) = 31×51×231×5691×26171
LCM(39255,39261) = 513730185

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 39261

List of positive integer factors of 39261 that divides 39261 without a remainder.

1, 3, 23, 69, 569, 1707, 13087, 39261

Least Common Multiple of 39255 and 39261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39255 and 39261, than apply into the LCM equation.

GCF(39255,39261) = 3
LCM(39255,39261) = ( 39255 × 39261) / 3
LCM(39255,39261) = 1541190555 / 3
LCM(39255,39261) = 513730185

Properties of LCM 39255 and 39261

(i) The LCM of 39261 and 39255 is associative

LCM of 39255 and 39261 = LCM of 39261 and 39255

Related Least Common Multiples of 39255

Related Least Common Multiples of 39261

Frequently Asked Questions on LCM of 39255 and 39261

1. What is the LCM of 39255 and 39261?

Answer: LCM of 39255 and 39261 is 513730185.

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 39261?

Answer: Factors of 39261 are 1, 3, 23, 69, 569, 1707, 13087, 39261. There are 8 integers that are factors of 39261. The greatest factor of 39261 is 39261.

4. How to Find the LCM of 39255 and 39261?

Answer:

Least Common Multiple of 39255 and 39261 = 513730185

Step 1: Find the prime factorization of 39255

39255 = 3 x 5 x 2617

Step 2: Find the prime factorization of 39261

39261 = 3 x 23 x 569

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

LCM = 513730185 = 3 x 5 x 23 x 569 x 2617

Step 4: Therefore, the least common multiple of 39255 and 39261 is 513730185.