Least Common Multiple of 15161 and 15165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15161 and 15165 the smallest integer that is 229916565 that is divisible by both numbers.

Least Common Multiple (LCM) of 15161 and 15165 is 229916565.

LCM(15161,15165) = 229916565

LCM of 15161 and 15165

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

LCM of:
and

Least Common Multiple of 15161 and 15165

LCM of 15161 and 15165 is 229916565

Least common multiple can be found by multiplying the highest exponent prime factors of 15161 and 15165. First we will calculate the prime factors of 15161 and 15165.

Prime Factorization of 15161


15161 15161
1

Prime factors of 15161 are 15161. Prime factorization of 15161 in exponential form is:

15161 = 151611

Prime Factorization of 15165


3 15165
3 5055
5 1685
337 337
1

Prime factors of 15165 are 3, 5,337. Prime factorization of 15165 in exponential form is:

15165 = 32×51×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 15161 and 15165.

LCM(15161,15165) = 32×51×3371×151611
LCM(15161,15165) = 229916565

Factors of 15161

List of positive integer factors of 15161 that divides 15161 without a remainder.

1, 15161

Factors of 15165

List of positive integer factors of 15165 that divides 15165 without a remainder.

1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055, 15165

Least Common Multiple of 15161 and 15165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15161 and 15165, than apply into the LCM equation.

GCF(15161,15165) = 1
LCM(15161,15165) = ( 15161 × 15165) / 1
LCM(15161,15165) = 229916565 / 1
LCM(15161,15165) = 229916565

Properties of LCM 15161 and 15165

(i) The LCM of 15165 and 15161 is associative

LCM of 15161 and 15165 = LCM of 15165 and 15161

Related Least Common Multiples of 15161

Related Least Common Multiples of 15165

Frequently Asked Questions on LCM of 15161 and 15165

1. What is the LCM of 15161 and 15165?

Answer: LCM of 15161 and 15165 is 229916565.

2. What are the Factors of 15161?

Answer: Factors of 15161 are 1, 15161. There are 2 integers that are factors of 15161. The greatest factor of 15161 is 15161.

3. What are the Factors of 15165?

Answer: Factors of 15165 are 1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055, 15165. There are 12 integers that are factors of 15165. The greatest factor of 15165 is 15165.

4. How to Find the LCM of 15161 and 15165?

Answer:

Least Common Multiple of 15161 and 15165 = 229916565

Step 1: Find the prime factorization of 15161

15161 = 15161

Step 2: Find the prime factorization of 15165

15165 = 3 x 3 x 5 x 337

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

LCM = 229916565 = 3 x 3 x 5 x 337 x 15161

Step 4: Therefore, the least common multiple of 15161 and 15165 is 229916565.