Least Common Multiple of 3163 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 3163 and 3170 the smallest integer that is 10026710 that is divisible by both numbers.

Least Common Multiple (LCM) of 3163 and 3170 is 10026710.

LCM(3163,3170) = 10026710

LCM of 3163 and 3170

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

LCM of:
and

Least Common Multiple of 3163 and 3170

LCM of 3163 and 3170 is 10026710

Least common multiple can be found by multiplying the highest exponent prime factors of 3163 and 3170. First we will calculate the prime factors of 3163 and 3170.

Prime Factorization of 3163


3163 3163
1

Prime factors of 3163 are 3163. Prime factorization of 3163 in exponential form is:

3163 = 31631

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 3163 and 3170.

LCM(3163,3170) = 21×51×3171×31631
LCM(3163,3170) = 10026710

Factors of 3163

List of positive integer factors of 3163 that divides 3163 without a remainder.

1, 3163

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 3163 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 3163 and 3170, than apply into the LCM equation.

GCF(3163,3170) = 1
LCM(3163,3170) = ( 3163 × 3170) / 1
LCM(3163,3170) = 10026710 / 1
LCM(3163,3170) = 10026710

Properties of LCM 3163 and 3170

(i) The LCM of 3170 and 3163 is associative

LCM of 3163 and 3170 = LCM of 3170 and 3163

Related Least Common Multiples of 3163

Related Least Common Multiples of 3170

Frequently Asked Questions on LCM of 3163 and 3170

1. What is the LCM of 3163 and 3170?

Answer: LCM of 3163 and 3170 is 10026710.

2. What are the Factors of 3163?

Answer: Factors of 3163 are 1, 3163. There are 2 integers that are factors of 3163. The greatest factor of 3163 is 3163.

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 3163 and 3170?

Answer:

Least Common Multiple of 3163 and 3170 = 10026710

Step 1: Find the prime factorization of 3163

3163 = 3163

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 = 10026710 = 2 x 5 x 317 x 3163

Step 4: Therefore, the least common multiple of 3163 and 3170 is 10026710.