Least Common Multiple of 3165 and 3171

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 3171 the smallest integer that is 3345405 that is divisible by both numbers.

Least Common Multiple (LCM) of 3165 and 3171 is 3345405.

LCM(3165,3171) = 3345405

LCM of 3165 and 3171

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

LCM of:
and

Least Common Multiple of 3165 and 3171

LCM of 3165 and 3171 is 3345405

Least common multiple can be found by multiplying the highest exponent prime factors of 3165 and 3171. First we will calculate the prime factors of 3165 and 3171.

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 3171


3 3171
7 1057
151 151
1

Prime factors of 3171 are 3, 7,151. Prime factorization of 3171 in exponential form is:

3171 = 31×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3165 and 3171.

LCM(3165,3171) = 31×51×71×1511×2111
LCM(3165,3171) = 3345405

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 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1, 3, 7, 21, 151, 453, 1057, 3171

Least Common Multiple of 3165 and 3171 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 3171, than apply into the LCM equation.

GCF(3165,3171) = 3
LCM(3165,3171) = ( 3165 × 3171) / 3
LCM(3165,3171) = 10036215 / 3
LCM(3165,3171) = 3345405

Properties of LCM 3165 and 3171

(i) The LCM of 3171 and 3165 is associative

LCM of 3165 and 3171 = LCM of 3171 and 3165

Related Least Common Multiples of 3165

Related Least Common Multiples of 3171

Frequently Asked Questions on LCM of 3165 and 3171

1. What is the LCM of 3165 and 3171?

Answer: LCM of 3165 and 3171 is 3345405.

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 3171?

Answer: Factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171. There are 8 integers that are factors of 3171. The greatest factor of 3171 is 3171.

4. How to Find the LCM of 3165 and 3171?

Answer:

Least Common Multiple of 3165 and 3171 = 3345405

Step 1: Find the prime factorization of 3165

3165 = 3 x 5 x 211

Step 2: Find the prime factorization of 3171

3171 = 3 x 7 x 151

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

LCM = 3345405 = 3 x 5 x 7 x 151 x 211

Step 4: Therefore, the least common multiple of 3165 and 3171 is 3345405.