Least Common Multiple of 15327 and 15335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15327 and 15335 the smallest integer that is 235039545 that is divisible by both numbers.

Least Common Multiple (LCM) of 15327 and 15335 is 235039545.

LCM(15327,15335) = 235039545

LCM of 15327 and 15335

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

LCM of:
and

Least Common Multiple of 15327 and 15335

LCM of 15327 and 15335 is 235039545

Least common multiple can be found by multiplying the highest exponent prime factors of 15327 and 15335. First we will calculate the prime factors of 15327 and 15335.

Prime Factorization of 15327


3 15327
3 5109
13 1703
131 131
1

Prime factors of 15327 are 3, 13,131. Prime factorization of 15327 in exponential form is:

15327 = 32×131×1311

Prime Factorization of 15335


5 15335
3067 3067
1

Prime factors of 15335 are 5,3067. Prime factorization of 15335 in exponential form is:

15335 = 51×30671

Now multiplying the highest exponent prime factors to calculate the LCM of 15327 and 15335.

LCM(15327,15335) = 32×51×131×1311×30671
LCM(15327,15335) = 235039545

Factors of 15327

List of positive integer factors of 15327 that divides 15327 without a remainder.

1, 3, 9, 13, 39, 117, 131, 393, 1179, 1703, 5109, 15327

Factors of 15335

List of positive integer factors of 15335 that divides 15335 without a remainder.

1, 5, 3067, 15335

Least Common Multiple of 15327 and 15335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15327 and 15335, than apply into the LCM equation.

GCF(15327,15335) = 1
LCM(15327,15335) = ( 15327 × 15335) / 1
LCM(15327,15335) = 235039545 / 1
LCM(15327,15335) = 235039545

Properties of LCM 15327 and 15335

(i) The LCM of 15335 and 15327 is associative

LCM of 15327 and 15335 = LCM of 15335 and 15327

Related Least Common Multiples of 15327

Related Least Common Multiples of 15335

Frequently Asked Questions on LCM of 15327 and 15335

1. What is the LCM of 15327 and 15335?

Answer: LCM of 15327 and 15335 is 235039545.

2. What are the Factors of 15327?

Answer: Factors of 15327 are 1, 3, 9, 13, 39, 117, 131, 393, 1179, 1703, 5109, 15327. There are 12 integers that are factors of 15327. The greatest factor of 15327 is 15327.

3. What are the Factors of 15335?

Answer: Factors of 15335 are 1, 5, 3067, 15335. There are 4 integers that are factors of 15335. The greatest factor of 15335 is 15335.

4. How to Find the LCM of 15327 and 15335?

Answer:

Least Common Multiple of 15327 and 15335 = 235039545

Step 1: Find the prime factorization of 15327

15327 = 3 x 3 x 13 x 131

Step 2: Find the prime factorization of 15335

15335 = 5 x 3067

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

LCM = 235039545 = 3 x 3 x 5 x 13 x 131 x 3067

Step 4: Therefore, the least common multiple of 15327 and 15335 is 235039545.