Least Common Multiple of 15165 and 15170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15165 and 15170 the smallest integer that is 46010610 that is divisible by both numbers.

Least Common Multiple (LCM) of 15165 and 15170 is 46010610.

LCM(15165,15170) = 46010610

LCM of 15165 and 15170

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

LCM of:
and

Least Common Multiple of 15165 and 15170

LCM of 15165 and 15170 is 46010610

Least common multiple can be found by multiplying the highest exponent prime factors of 15165 and 15170. First we will calculate the prime factors of 15165 and 15170.

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

Prime Factorization of 15170


2 15170
5 7585
37 1517
41 41
1

Prime factors of 15170 are 2, 5, 37,41. Prime factorization of 15170 in exponential form is:

15170 = 21×51×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 15165 and 15170.

LCM(15165,15170) = 21×32×51×371×411×3371
LCM(15165,15170) = 46010610

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

Factors of 15170

List of positive integer factors of 15170 that divides 15170 without a remainder.

1, 2, 5, 10, 37, 41, 74, 82, 185, 205, 370, 410, 1517, 3034, 7585, 15170

Least Common Multiple of 15165 and 15170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15165 and 15170, than apply into the LCM equation.

GCF(15165,15170) = 5
LCM(15165,15170) = ( 15165 × 15170) / 5
LCM(15165,15170) = 230053050 / 5
LCM(15165,15170) = 46010610

Properties of LCM 15165 and 15170

(i) The LCM of 15170 and 15165 is associative

LCM of 15165 and 15170 = LCM of 15170 and 15165

Related Least Common Multiples of 15165

Related Least Common Multiples of 15170

Frequently Asked Questions on LCM of 15165 and 15170

1. What is the LCM of 15165 and 15170?

Answer: LCM of 15165 and 15170 is 46010610.

2. 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.

3. What are the Factors of 15170?

Answer: Factors of 15170 are 1, 2, 5, 10, 37, 41, 74, 82, 185, 205, 370, 410, 1517, 3034, 7585, 15170. There are 16 integers that are factors of 15170. The greatest factor of 15170 is 15170.

4. How to Find the LCM of 15165 and 15170?

Answer:

Least Common Multiple of 15165 and 15170 = 46010610

Step 1: Find the prime factorization of 15165

15165 = 3 x 3 x 5 x 337

Step 2: Find the prime factorization of 15170

15170 = 2 x 5 x 37 x 41

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

LCM = 46010610 = 2 x 3 x 3 x 5 x 37 x 41 x 337

Step 4: Therefore, the least common multiple of 15165 and 15170 is 46010610.