Least Common Multiple of 3170 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 3170 and 3171 the smallest integer that is 10052070 that is divisible by both numbers.

Least Common Multiple (LCM) of 3170 and 3171 is 10052070.

LCM(3170,3171) = 10052070

LCM of 3170 and 3171

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

LCM of:
and

Least Common Multiple of 3170 and 3171

LCM of 3170 and 3171 is 10052070

Least common multiple can be found by multiplying the highest exponent prime factors of 3170 and 3171. First we will calculate the prime factors of 3170 and 3171.

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

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 3170 and 3171.

LCM(3170,3171) = 21×31×51×71×1511×3171
LCM(3170,3171) = 10052070

Factors of 3170

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

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

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 3170 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 3170 and 3171, than apply into the LCM equation.

GCF(3170,3171) = 1
LCM(3170,3171) = ( 3170 × 3171) / 1
LCM(3170,3171) = 10052070 / 1
LCM(3170,3171) = 10052070

Properties of LCM 3170 and 3171

(i) The LCM of 3171 and 3170 is associative

LCM of 3170 and 3171 = LCM of 3171 and 3170

Related Least Common Multiples of 3170

Related Least Common Multiples of 3171

Frequently Asked Questions on LCM of 3170 and 3171

1. What is the LCM of 3170 and 3171?

Answer: LCM of 3170 and 3171 is 10052070.

2. 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.

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 3170 and 3171?

Answer:

Least Common Multiple of 3170 and 3171 = 10052070

Step 1: Find the prime factorization of 3170

3170 = 2 x 5 x 317

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 = 10052070 = 2 x 3 x 5 x 7 x 151 x 317

Step 4: Therefore, the least common multiple of 3170 and 3171 is 10052070.