Least Common Multiple of 3163 and 3168

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 3168 the smallest integer that is 10020384 that is divisible by both numbers.

Least Common Multiple (LCM) of 3163 and 3168 is 10020384.

LCM(3163,3168) = 10020384

LCM of 3163 and 3168

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

LCM of:
and

Least Common Multiple of 3163 and 3168

LCM of 3163 and 3168 is 10020384

Least common multiple can be found by multiplying the highest exponent prime factors of 3163 and 3168. First we will calculate the prime factors of 3163 and 3168.

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 3168


2 3168
2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 3168 are 2, 3,11. Prime factorization of 3168 in exponential form is:

3168 = 25×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3163 and 3168.

LCM(3163,3168) = 25×32×111×31631
LCM(3163,3168) = 10020384

Factors of 3163

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

1, 3163

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168

Least Common Multiple of 3163 and 3168 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 3168, than apply into the LCM equation.

GCF(3163,3168) = 1
LCM(3163,3168) = ( 3163 × 3168) / 1
LCM(3163,3168) = 10020384 / 1
LCM(3163,3168) = 10020384

Properties of LCM 3163 and 3168

(i) The LCM of 3168 and 3163 is associative

LCM of 3163 and 3168 = LCM of 3168 and 3163

Related Least Common Multiples of 3163

Related Least Common Multiples of 3168

Frequently Asked Questions on LCM of 3163 and 3168

1. What is the LCM of 3163 and 3168?

Answer: LCM of 3163 and 3168 is 10020384.

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 3168?

Answer: Factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168. There are 36 integers that are factors of 3168. The greatest factor of 3168 is 3168.

4. How to Find the LCM of 3163 and 3168?

Answer:

Least Common Multiple of 3163 and 3168 = 10020384

Step 1: Find the prime factorization of 3163

3163 = 3163

Step 2: Find the prime factorization of 3168

3168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11

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

LCM = 10020384 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 3163

Step 4: Therefore, the least common multiple of 3163 and 3168 is 10020384.