Least Common Multiple of 3174 and 3181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3174 and 3181 the smallest integer that is 10096494 that is divisible by both numbers.

Least Common Multiple (LCM) of 3174 and 3181 is 10096494.

LCM(3174,3181) = 10096494

LCM of 3174 and 3181

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

LCM of:
and

Least Common Multiple of 3174 and 3181

LCM of 3174 and 3181 is 10096494

Least common multiple can be found by multiplying the highest exponent prime factors of 3174 and 3181. First we will calculate the prime factors of 3174 and 3181.

Prime Factorization of 3174


2 3174
3 1587
23 529
23 23
1

Prime factors of 3174 are 2, 3,23. Prime factorization of 3174 in exponential form is:

3174 = 21×31×232

Prime Factorization of 3181


3181 3181
1

Prime factors of 3181 are 3181. Prime factorization of 3181 in exponential form is:

3181 = 31811

Now multiplying the highest exponent prime factors to calculate the LCM of 3174 and 3181.

LCM(3174,3181) = 21×31×232×31811
LCM(3174,3181) = 10096494

Factors of 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174

Factors of 3181

List of positive integer factors of 3181 that divides 3181 without a remainder.

1, 3181

Least Common Multiple of 3174 and 3181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3174 and 3181, than apply into the LCM equation.

GCF(3174,3181) = 1
LCM(3174,3181) = ( 3174 × 3181) / 1
LCM(3174,3181) = 10096494 / 1
LCM(3174,3181) = 10096494

Properties of LCM 3174 and 3181

(i) The LCM of 3181 and 3174 is associative

LCM of 3174 and 3181 = LCM of 3181 and 3174

Related Least Common Multiples of 3174

Related Least Common Multiples of 3181

Frequently Asked Questions on LCM of 3174 and 3181

1. What is the LCM of 3174 and 3181?

Answer: LCM of 3174 and 3181 is 10096494.

2. What are the Factors of 3174?

Answer: Factors of 3174 are 1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174. There are 12 integers that are factors of 3174. The greatest factor of 3174 is 3174.

3. What are the Factors of 3181?

Answer: Factors of 3181 are 1, 3181. There are 2 integers that are factors of 3181. The greatest factor of 3181 is 3181.

4. How to Find the LCM of 3174 and 3181?

Answer:

Least Common Multiple of 3174 and 3181 = 10096494

Step 1: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 3181

3181 = 3181

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

LCM = 10096494 = 2 x 3 x 23 x 23 x 3181

Step 4: Therefore, the least common multiple of 3174 and 3181 is 10096494.