Least Common Multiple of 3163 and 3167

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 3167 the smallest integer that is 10017221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3163 and 3167 is 10017221.

LCM(3163,3167) = 10017221

LCM of 3163 and 3167

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

LCM of:
and

Least Common Multiple of 3163 and 3167

LCM of 3163 and 3167 is 10017221

Least common multiple can be found by multiplying the highest exponent prime factors of 3163 and 3167. First we will calculate the prime factors of 3163 and 3167.

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 3167


3167 3167
1

Prime factors of 3167 are 3167. Prime factorization of 3167 in exponential form is:

3167 = 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 3163 and 3167.

LCM(3163,3167) = 31631×31671
LCM(3163,3167) = 10017221

Factors of 3163

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

1, 3163

Factors of 3167

List of positive integer factors of 3167 that divides 3167 without a remainder.

1, 3167

Least Common Multiple of 3163 and 3167 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 3167, than apply into the LCM equation.

GCF(3163,3167) = 1
LCM(3163,3167) = ( 3163 × 3167) / 1
LCM(3163,3167) = 10017221 / 1
LCM(3163,3167) = 10017221

Properties of LCM 3163 and 3167

(i) The LCM of 3167 and 3163 is associative

LCM of 3163 and 3167 = LCM of 3167 and 3163

Related Least Common Multiples of 3163

Related Least Common Multiples of 3167

Frequently Asked Questions on LCM of 3163 and 3167

1. What is the LCM of 3163 and 3167?

Answer: LCM of 3163 and 3167 is 10017221.

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 3167?

Answer: Factors of 3167 are 1, 3167. There are 2 integers that are factors of 3167. The greatest factor of 3167 is 3167.

4. How to Find the LCM of 3163 and 3167?

Answer:

Least Common Multiple of 3163 and 3167 = 10017221

Step 1: Find the prime factorization of 3163

3163 = 3163

Step 2: Find the prime factorization of 3167

3167 = 3167

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

LCM = 10017221 = 3163 x 3167

Step 4: Therefore, the least common multiple of 3163 and 3167 is 10017221.