Least Common Multiple of 3159 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 3159 and 3163 the smallest integer that is 9991917 that is divisible by both numbers.

Least Common Multiple (LCM) of 3159 and 3163 is 9991917.

LCM(3159,3163) = 9991917

LCM of 3159 and 3163

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

LCM of:
and

Least Common Multiple of 3159 and 3163

LCM of 3159 and 3163 is 9991917

Least common multiple can be found by multiplying the highest exponent prime factors of 3159 and 3163. First we will calculate the prime factors of 3159 and 3163.

Prime Factorization of 3159


3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 3159 are 3,13. Prime factorization of 3159 in exponential form is:

3159 = 35×131

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 3159 and 3163.

LCM(3159,3163) = 35×131×31631
LCM(3159,3163) = 9991917

Factors of 3159

List of positive integer factors of 3159 that divides 3159 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159

Factors of 3163

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

1, 3163

Least Common Multiple of 3159 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 3159 and 3163, than apply into the LCM equation.

GCF(3159,3163) = 1
LCM(3159,3163) = ( 3159 × 3163) / 1
LCM(3159,3163) = 9991917 / 1
LCM(3159,3163) = 9991917

Properties of LCM 3159 and 3163

(i) The LCM of 3163 and 3159 is associative

LCM of 3159 and 3163 = LCM of 3163 and 3159

Related Least Common Multiples of 3159

Related Least Common Multiples of 3163

Frequently Asked Questions on LCM of 3159 and 3163

1. What is the LCM of 3159 and 3163?

Answer: LCM of 3159 and 3163 is 9991917.

2. What are the Factors of 3159?

Answer: Factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159. There are 12 integers that are factors of 3159. The greatest factor of 3159 is 3159.

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 3159 and 3163?

Answer:

Least Common Multiple of 3159 and 3163 = 9991917

Step 1: Find the prime factorization of 3159

3159 = 3 x 3 x 3 x 3 x 3 x 13

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 = 9991917 = 3 x 3 x 3 x 3 x 3 x 13 x 3163

Step 4: Therefore, the least common multiple of 3159 and 3163 is 9991917.