Least Common Multiple of 3162 and 3169

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 3169 the smallest integer that is 10020378 that is divisible by both numbers.

Least Common Multiple (LCM) of 3162 and 3169 is 10020378.

LCM(3162,3169) = 10020378

LCM of 3162 and 3169

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

LCM of:
and

Least Common Multiple of 3162 and 3169

LCM of 3162 and 3169 is 10020378

Least common multiple can be found by multiplying the highest exponent prime factors of 3162 and 3169. First we will calculate the prime factors of 3162 and 3169.

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 3169


3169 3169
1

Prime factors of 3169 are 3169. Prime factorization of 3169 in exponential form is:

3169 = 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 3162 and 3169.

LCM(3162,3169) = 21×31×171×311×31691
LCM(3162,3169) = 10020378

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 3169

List of positive integer factors of 3169 that divides 3169 without a remainder.

1, 3169

Least Common Multiple of 3162 and 3169 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 3169, than apply into the LCM equation.

GCF(3162,3169) = 1
LCM(3162,3169) = ( 3162 × 3169) / 1
LCM(3162,3169) = 10020378 / 1
LCM(3162,3169) = 10020378

Properties of LCM 3162 and 3169

(i) The LCM of 3169 and 3162 is associative

LCM of 3162 and 3169 = LCM of 3169 and 3162

Related Least Common Multiples of 3162

Related Least Common Multiples of 3169

Frequently Asked Questions on LCM of 3162 and 3169

1. What is the LCM of 3162 and 3169?

Answer: LCM of 3162 and 3169 is 10020378.

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 3169?

Answer: Factors of 3169 are 1, 3169. There are 2 integers that are factors of 3169. The greatest factor of 3169 is 3169.

4. How to Find the LCM of 3162 and 3169?

Answer:

Least Common Multiple of 3162 and 3169 = 10020378

Step 1: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

Step 2: Find the prime factorization of 3169

3169 = 3169

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

LCM = 10020378 = 2 x 3 x 17 x 31 x 3169

Step 4: Therefore, the least common multiple of 3162 and 3169 is 10020378.