Least Common Multiple of 3158 and 3163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3158 and 3163 the smallest integer that is 9988754 that is divisible by both numbers.

Least Common Multiple (LCM) of 3158 and 3163 is 9988754.

LCM(3158,3163) = 9988754

LCM of 3158 and 3163

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

LCM of:
and

Least Common Multiple of 3158 and 3163

LCM of 3158 and 3163 is 9988754

Least common multiple can be found by multiplying the highest exponent prime factors of 3158 and 3163. First we will calculate the prime factors of 3158 and 3163.

Prime Factorization of 3158


2 3158
1579 1579
1

Prime factors of 3158 are 2,1579. Prime factorization of 3158 in exponential form is:

3158 = 21×15791

Prime Factorization of 3163


3163 3163
1

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

3163 = 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3163.

LCM(3158,3163) = 21×15791×31631
LCM(3158,3163) = 9988754

Factors of 3158

List of positive integer factors of 3158 that divides 3158 without a remainder.

1, 2, 1579, 3158

Factors of 3163

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

1, 3163

Least Common Multiple of 3158 and 3163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3158 and 3163, than apply into the LCM equation.

GCF(3158,3163) = 1
LCM(3158,3163) = ( 3158 × 3163) / 1
LCM(3158,3163) = 9988754 / 1
LCM(3158,3163) = 9988754

Properties of LCM 3158 and 3163

(i) The LCM of 3163 and 3158 is associative

LCM of 3158 and 3163 = LCM of 3163 and 3158

Related Least Common Multiples of 3158

Related Least Common Multiples of 3163

Frequently Asked Questions on LCM of 3158 and 3163

1. What is the LCM of 3158 and 3163?

Answer: LCM of 3158 and 3163 is 9988754.

2. What are the Factors of 3158?

Answer: Factors of 3158 are 1, 2, 1579, 3158. There are 4 integers that are factors of 3158. The greatest factor of 3158 is 3158.

3. 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.

4. How to Find the LCM of 3158 and 3163?

Answer:

Least Common Multiple of 3158 and 3163 = 9988754

Step 1: Find the prime factorization of 3158

3158 = 2 x 1579

Step 2: Find the prime factorization of 3163

3163 = 3163

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

LCM = 9988754 = 2 x 1579 x 3163

Step 4: Therefore, the least common multiple of 3158 and 3163 is 9988754.