Least Common Multiple of 3162 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 3162 and 3168 the smallest integer that is 1669536 that is divisible by both numbers.

Least Common Multiple (LCM) of 3162 and 3168 is 1669536.

LCM(3162,3168) = 1669536

LCM of 3162 and 3168

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

LCM of:
and

Least Common Multiple of 3162 and 3168

LCM of 3162 and 3168 is 1669536

Least common multiple can be found by multiplying the highest exponent prime factors of 3162 and 3168. First we will calculate the prime factors of 3162 and 3168.

Prime Factorization of 3162


2 3162
3 1581
17 527
31 31
1

Prime factors of 3162 are 2, 3, 17,31. Prime factorization of 3162 in exponential form is:

3162 = 21×31×171×311

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 3162 and 3168.

LCM(3162,3168) = 25×32×111×171×311
LCM(3162,3168) = 1669536

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162

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 3162 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 3162 and 3168, than apply into the LCM equation.

GCF(3162,3168) = 6
LCM(3162,3168) = ( 3162 × 3168) / 6
LCM(3162,3168) = 10017216 / 6
LCM(3162,3168) = 1669536

Properties of LCM 3162 and 3168

(i) The LCM of 3168 and 3162 is associative

LCM of 3162 and 3168 = LCM of 3168 and 3162

Related Least Common Multiples of 3162

Related Least Common Multiples of 3168

Frequently Asked Questions on LCM of 3162 and 3168

1. What is the LCM of 3162 and 3168?

Answer: LCM of 3162 and 3168 is 1669536.

2. What are the Factors of 3162?

Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.

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 3162 and 3168?

Answer:

Least Common Multiple of 3162 and 3168 = 1669536

Step 1: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

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 = 1669536 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 3162 and 3168 is 1669536.