Least Common Multiple of 2165 and 2170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2165 and 2170 the smallest integer that is 939610 that is divisible by both numbers.

Least Common Multiple (LCM) of 2165 and 2170 is 939610.

LCM(2165,2170) = 939610

LCM of 2165 and 2170

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

LCM of:
and

Least Common Multiple of 2165 and 2170

LCM of 2165 and 2170 is 939610

Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2170. First we will calculate the prime factors of 2165 and 2170.

Prime Factorization of 2165


5 2165
433 433
1

Prime factors of 2165 are 5,433. Prime factorization of 2165 in exponential form is:

2165 = 51×4331

Prime Factorization of 2170


2 2170
5 1085
7 217
31 31
1

Prime factors of 2170 are 2, 5, 7,31. Prime factorization of 2170 in exponential form is:

2170 = 21×51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2165 and 2170.

LCM(2165,2170) = 21×51×71×311×4331
LCM(2165,2170) = 939610

Factors of 2165

List of positive integer factors of 2165 that divides 2165 without a remainder.

1, 5, 433, 2165

Factors of 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170

Least Common Multiple of 2165 and 2170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2165 and 2170, than apply into the LCM equation.

GCF(2165,2170) = 5
LCM(2165,2170) = ( 2165 × 2170) / 5
LCM(2165,2170) = 4698050 / 5
LCM(2165,2170) = 939610

Properties of LCM 2165 and 2170

(i) The LCM of 2170 and 2165 is associative

LCM of 2165 and 2170 = LCM of 2170 and 2165

Related Least Common Multiples of 2165

Related Least Common Multiples of 2170

Frequently Asked Questions on LCM of 2165 and 2170

1. What is the LCM of 2165 and 2170?

Answer: LCM of 2165 and 2170 is 939610.

2. What are the Factors of 2165?

Answer: Factors of 2165 are 1, 5, 433, 2165. There are 4 integers that are factors of 2165. The greatest factor of 2165 is 2165.

3. What are the Factors of 2170?

Answer: Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. There are 16 integers that are factors of 2170. The greatest factor of 2170 is 2170.

4. How to Find the LCM of 2165 and 2170?

Answer:

Least Common Multiple of 2165 and 2170 = 939610

Step 1: Find the prime factorization of 2165

2165 = 5 x 433

Step 2: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

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

LCM = 939610 = 2 x 5 x 7 x 31 x 433

Step 4: Therefore, the least common multiple of 2165 and 2170 is 939610.