Least Common Multiple of 3162 and 3170

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 3170 the smallest integer that is 5011770 that is divisible by both numbers.

Least Common Multiple (LCM) of 3162 and 3170 is 5011770.

LCM(3162,3170) = 5011770

LCM of 3162 and 3170

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

LCM of:
and

Least Common Multiple of 3162 and 3170

LCM of 3162 and 3170 is 5011770

Least common multiple can be found by multiplying the highest exponent prime factors of 3162 and 3170. First we will calculate the prime factors of 3162 and 3170.

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 3170


2 3170
5 1585
317 317
1

Prime factors of 3170 are 2, 5,317. Prime factorization of 3170 in exponential form is:

3170 = 21×51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3162 and 3170.

LCM(3162,3170) = 21×31×51×171×311×3171
LCM(3162,3170) = 5011770

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 3170

List of positive integer factors of 3170 that divides 3170 without a remainder.

1, 2, 5, 10, 317, 634, 1585, 3170

Least Common Multiple of 3162 and 3170 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 3170, than apply into the LCM equation.

GCF(3162,3170) = 2
LCM(3162,3170) = ( 3162 × 3170) / 2
LCM(3162,3170) = 10023540 / 2
LCM(3162,3170) = 5011770

Properties of LCM 3162 and 3170

(i) The LCM of 3170 and 3162 is associative

LCM of 3162 and 3170 = LCM of 3170 and 3162

Related Least Common Multiples of 3162

Related Least Common Multiples of 3170

Frequently Asked Questions on LCM of 3162 and 3170

1. What is the LCM of 3162 and 3170?

Answer: LCM of 3162 and 3170 is 5011770.

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 3170?

Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.

4. How to Find the LCM of 3162 and 3170?

Answer:

Least Common Multiple of 3162 and 3170 = 5011770

Step 1: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

Step 2: Find the prime factorization of 3170

3170 = 2 x 5 x 317

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

LCM = 5011770 = 2 x 3 x 5 x 17 x 31 x 317

Step 4: Therefore, the least common multiple of 3162 and 3170 is 5011770.