Least Common Multiple of 3174 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 3174 and 3178 the smallest integer that is 5043486 that is divisible by both numbers.

Least Common Multiple (LCM) of 3174 and 3178 is 5043486.

LCM(3174,3178) = 5043486

LCM of 3174 and 3178

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

LCM of:
and

Least Common Multiple of 3174 and 3178

LCM of 3174 and 3178 is 5043486

Least common multiple can be found by multiplying the highest exponent prime factors of 3174 and 3178. First we will calculate the prime factors of 3174 and 3178.

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 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 3174 and 3178.

LCM(3174,3178) = 21×31×71×232×2271
LCM(3174,3178) = 5043486

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 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 3174 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 3174 and 3178, than apply into the LCM equation.

GCF(3174,3178) = 2
LCM(3174,3178) = ( 3174 × 3178) / 2
LCM(3174,3178) = 10086972 / 2
LCM(3174,3178) = 5043486

Properties of LCM 3174 and 3178

(i) The LCM of 3178 and 3174 is associative

LCM of 3174 and 3178 = LCM of 3178 and 3174

Related Least Common Multiples of 3174

Related Least Common Multiples of 3178

Frequently Asked Questions on LCM of 3174 and 3178

1. What is the LCM of 3174 and 3178?

Answer: LCM of 3174 and 3178 is 5043486.

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 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 3174 and 3178?

Answer:

Least Common Multiple of 3174 and 3178 = 5043486

Step 1: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

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 = 5043486 = 2 x 3 x 7 x 23 x 23 x 227

Step 4: Therefore, the least common multiple of 3174 and 3178 is 5043486.