Least Common Multiple of 3171 and 3178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3171 and 3178 the smallest integer that is 1439634 that is divisible by both numbers.

Least Common Multiple (LCM) of 3171 and 3178 is 1439634.

LCM(3171,3178) = 1439634

LCM of 3171 and 3178

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

LCM of:
and

Least Common Multiple of 3171 and 3178

LCM of 3171 and 3178 is 1439634

Least common multiple can be found by multiplying the highest exponent prime factors of 3171 and 3178. First we will calculate the prime factors of 3171 and 3178.

Prime Factorization of 3171


3 3171
7 1057
151 151
1

Prime factors of 3171 are 3, 7,151. Prime factorization of 3171 in exponential form is:

3171 = 31×71×1511

Prime Factorization of 3178


2 3178
7 1589
227 227
1

Prime factors of 3178 are 2, 7,227. Prime factorization of 3178 in exponential form is:

3178 = 21×71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 3171 and 3178.

LCM(3171,3178) = 21×31×71×1511×2271
LCM(3171,3178) = 1439634

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1, 3, 7, 21, 151, 453, 1057, 3171

Factors of 3178

List of positive integer factors of 3178 that divides 3178 without a remainder.

1, 2, 7, 14, 227, 454, 1589, 3178

Least Common Multiple of 3171 and 3178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3171 and 3178, than apply into the LCM equation.

GCF(3171,3178) = 7
LCM(3171,3178) = ( 3171 × 3178) / 7
LCM(3171,3178) = 10077438 / 7
LCM(3171,3178) = 1439634

Properties of LCM 3171 and 3178

(i) The LCM of 3178 and 3171 is associative

LCM of 3171 and 3178 = LCM of 3178 and 3171

Related Least Common Multiples of 3171

Related Least Common Multiples of 3178

Frequently Asked Questions on LCM of 3171 and 3178

1. What is the LCM of 3171 and 3178?

Answer: LCM of 3171 and 3178 is 1439634.

2. What are the Factors of 3171?

Answer: Factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171. There are 8 integers that are factors of 3171. The greatest factor of 3171 is 3171.

3. What are the Factors of 3178?

Answer: Factors of 3178 are 1, 2, 7, 14, 227, 454, 1589, 3178. There are 8 integers that are factors of 3178. The greatest factor of 3178 is 3178.

4. How to Find the LCM of 3171 and 3178?

Answer:

Least Common Multiple of 3171 and 3178 = 1439634

Step 1: Find the prime factorization of 3171

3171 = 3 x 7 x 151

Step 2: Find the prime factorization of 3178

3178 = 2 x 7 x 227

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

LCM = 1439634 = 2 x 3 x 7 x 151 x 227

Step 4: Therefore, the least common multiple of 3171 and 3178 is 1439634.