Least Common Multiple of 3174 and 3182

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 3182 the smallest integer that is 5049834 that is divisible by both numbers.

Least Common Multiple (LCM) of 3174 and 3182 is 5049834.

LCM(3174,3182) = 5049834

LCM of 3174 and 3182

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

LCM of:
and

Least Common Multiple of 3174 and 3182

LCM of 3174 and 3182 is 5049834

Least common multiple can be found by multiplying the highest exponent prime factors of 3174 and 3182. First we will calculate the prime factors of 3174 and 3182.

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 3182


2 3182
37 1591
43 43
1

Prime factors of 3182 are 2, 37,43. Prime factorization of 3182 in exponential form is:

3182 = 21×371×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3174 and 3182.

LCM(3174,3182) = 21×31×232×371×431
LCM(3174,3182) = 5049834

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 3182

List of positive integer factors of 3182 that divides 3182 without a remainder.

1, 2, 37, 43, 74, 86, 1591, 3182

Least Common Multiple of 3174 and 3182 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 3182, than apply into the LCM equation.

GCF(3174,3182) = 2
LCM(3174,3182) = ( 3174 × 3182) / 2
LCM(3174,3182) = 10099668 / 2
LCM(3174,3182) = 5049834

Properties of LCM 3174 and 3182

(i) The LCM of 3182 and 3174 is associative

LCM of 3174 and 3182 = LCM of 3182 and 3174

Related Least Common Multiples of 3174

Related Least Common Multiples of 3182

Frequently Asked Questions on LCM of 3174 and 3182

1. What is the LCM of 3174 and 3182?

Answer: LCM of 3174 and 3182 is 5049834.

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 3182?

Answer: Factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182. There are 8 integers that are factors of 3182. The greatest factor of 3182 is 3182.

4. How to Find the LCM of 3174 and 3182?

Answer:

Least Common Multiple of 3174 and 3182 = 5049834

Step 1: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 3182

3182 = 2 x 37 x 43

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

LCM = 5049834 = 2 x 3 x 23 x 23 x 37 x 43

Step 4: Therefore, the least common multiple of 3174 and 3182 is 5049834.