Least Common Multiple of 3174 and 3179

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 3179 the smallest integer that is 10090146 that is divisible by both numbers.

Least Common Multiple (LCM) of 3174 and 3179 is 10090146.

LCM(3174,3179) = 10090146

LCM of 3174 and 3179

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

LCM of:
and

Least Common Multiple of 3174 and 3179

LCM of 3174 and 3179 is 10090146

Least common multiple can be found by multiplying the highest exponent prime factors of 3174 and 3179. First we will calculate the prime factors of 3174 and 3179.

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 3179


11 3179
17 289
17 17
1

Prime factors of 3179 are 11,17. Prime factorization of 3179 in exponential form is:

3179 = 111×172

Now multiplying the highest exponent prime factors to calculate the LCM of 3174 and 3179.

LCM(3174,3179) = 21×31×111×172×232
LCM(3174,3179) = 10090146

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 3179

List of positive integer factors of 3179 that divides 3179 without a remainder.

1, 11, 17, 187, 289, 3179

Least Common Multiple of 3174 and 3179 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 3179, than apply into the LCM equation.

GCF(3174,3179) = 1
LCM(3174,3179) = ( 3174 × 3179) / 1
LCM(3174,3179) = 10090146 / 1
LCM(3174,3179) = 10090146

Properties of LCM 3174 and 3179

(i) The LCM of 3179 and 3174 is associative

LCM of 3174 and 3179 = LCM of 3179 and 3174

Related Least Common Multiples of 3174

Related Least Common Multiples of 3179

Frequently Asked Questions on LCM of 3174 and 3179

1. What is the LCM of 3174 and 3179?

Answer: LCM of 3174 and 3179 is 10090146.

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 3179?

Answer: Factors of 3179 are 1, 11, 17, 187, 289, 3179. There are 6 integers that are factors of 3179. The greatest factor of 3179 is 3179.

4. How to Find the LCM of 3174 and 3179?

Answer:

Least Common Multiple of 3174 and 3179 = 10090146

Step 1: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 3179

3179 = 11 x 17 x 17

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

LCM = 10090146 = 2 x 3 x 11 x 17 x 17 x 23 x 23

Step 4: Therefore, the least common multiple of 3174 and 3179 is 10090146.