Least Common Multiple of 3162 and 3166

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 3166 the smallest integer that is 5005446 that is divisible by both numbers.

Least Common Multiple (LCM) of 3162 and 3166 is 5005446.

LCM(3162,3166) = 5005446

LCM of 3162 and 3166

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

LCM of:
and

Least Common Multiple of 3162 and 3166

LCM of 3162 and 3166 is 5005446

Least common multiple can be found by multiplying the highest exponent prime factors of 3162 and 3166. First we will calculate the prime factors of 3162 and 3166.

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 3166


2 3166
1583 1583
1

Prime factors of 3166 are 2,1583. Prime factorization of 3166 in exponential form is:

3166 = 21×15831

Now multiplying the highest exponent prime factors to calculate the LCM of 3162 and 3166.

LCM(3162,3166) = 21×31×171×311×15831
LCM(3162,3166) = 5005446

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 3166

List of positive integer factors of 3166 that divides 3166 without a remainder.

1, 2, 1583, 3166

Least Common Multiple of 3162 and 3166 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 3166, than apply into the LCM equation.

GCF(3162,3166) = 2
LCM(3162,3166) = ( 3162 × 3166) / 2
LCM(3162,3166) = 10010892 / 2
LCM(3162,3166) = 5005446

Properties of LCM 3162 and 3166

(i) The LCM of 3166 and 3162 is associative

LCM of 3162 and 3166 = LCM of 3166 and 3162

Related Least Common Multiples of 3162

Related Least Common Multiples of 3166

Frequently Asked Questions on LCM of 3162 and 3166

1. What is the LCM of 3162 and 3166?

Answer: LCM of 3162 and 3166 is 5005446.

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 3166?

Answer: Factors of 3166 are 1, 2, 1583, 3166. There are 4 integers that are factors of 3166. The greatest factor of 3166 is 3166.

4. How to Find the LCM of 3162 and 3166?

Answer:

Least Common Multiple of 3162 and 3166 = 5005446

Step 1: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

Step 2: Find the prime factorization of 3166

3166 = 2 x 1583

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

LCM = 5005446 = 2 x 3 x 17 x 31 x 1583

Step 4: Therefore, the least common multiple of 3162 and 3166 is 5005446.