Least Common Multiple of 3165 and 3170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3165 and 3170 the smallest integer that is 2006610 that is divisible by both numbers.

Least Common Multiple (LCM) of 3165 and 3170 is 2006610.

LCM(3165,3170) = 2006610

LCM of 3165 and 3170

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

LCM of:
and

Least Common Multiple of 3165 and 3170

LCM of 3165 and 3170 is 2006610

Least common multiple can be found by multiplying the highest exponent prime factors of 3165 and 3170. First we will calculate the prime factors of 3165 and 3170.

Prime Factorization of 3165


3 3165
5 1055
211 211
1

Prime factors of 3165 are 3, 5,211. Prime factorization of 3165 in exponential form is:

3165 = 31×51×2111

Prime Factorization of 3170


2 3170
5 1585
317 317
1

Prime factors of 3170 are 2, 5,317. Prime factorization of 3170 in exponential form is:

3170 = 21×51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3165 and 3170.

LCM(3165,3170) = 21×31×51×2111×3171
LCM(3165,3170) = 2006610

Factors of 3165

List of positive integer factors of 3165 that divides 3165 without a remainder.

1, 3, 5, 15, 211, 633, 1055, 3165

Factors of 3170

List of positive integer factors of 3170 that divides 3170 without a remainder.

1, 2, 5, 10, 317, 634, 1585, 3170

Least Common Multiple of 3165 and 3170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3165 and 3170, than apply into the LCM equation.

GCF(3165,3170) = 5
LCM(3165,3170) = ( 3165 × 3170) / 5
LCM(3165,3170) = 10033050 / 5
LCM(3165,3170) = 2006610

Properties of LCM 3165 and 3170

(i) The LCM of 3170 and 3165 is associative

LCM of 3165 and 3170 = LCM of 3170 and 3165

Related Least Common Multiples of 3165

Related Least Common Multiples of 3170

Frequently Asked Questions on LCM of 3165 and 3170

1. What is the LCM of 3165 and 3170?

Answer: LCM of 3165 and 3170 is 2006610.

2. What are the Factors of 3165?

Answer: Factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165. There are 8 integers that are factors of 3165. The greatest factor of 3165 is 3165.

3. What are the Factors of 3170?

Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.

4. How to Find the LCM of 3165 and 3170?

Answer:

Least Common Multiple of 3165 and 3170 = 2006610

Step 1: Find the prime factorization of 3165

3165 = 3 x 5 x 211

Step 2: Find the prime factorization of 3170

3170 = 2 x 5 x 317

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

LCM = 2006610 = 2 x 3 x 5 x 211 x 317

Step 4: Therefore, the least common multiple of 3165 and 3170 is 2006610.