Least Common Multiple of 3166 and 3174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3166 and 3174 the smallest integer that is 5024442 that is divisible by both numbers.

Least Common Multiple (LCM) of 3166 and 3174 is 5024442.

LCM(3166,3174) = 5024442

LCM of 3166 and 3174

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

LCM of:
and

Least Common Multiple of 3166 and 3174

LCM of 3166 and 3174 is 5024442

Least common multiple can be found by multiplying the highest exponent prime factors of 3166 and 3174. First we will calculate the prime factors of 3166 and 3174.

Prime Factorization of 3166


2 3166
1583 1583
1

Prime factors of 3166 are 2,1583. Prime factorization of 3166 in exponential form is:

3166 = 21×15831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3166 and 3174.

LCM(3166,3174) = 21×31×232×15831
LCM(3166,3174) = 5024442

Factors of 3166

List of positive integer factors of 3166 that divides 3166 without a remainder.

1, 2, 1583, 3166

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

Least Common Multiple of 3166 and 3174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3166 and 3174, than apply into the LCM equation.

GCF(3166,3174) = 2
LCM(3166,3174) = ( 3166 × 3174) / 2
LCM(3166,3174) = 10048884 / 2
LCM(3166,3174) = 5024442

Properties of LCM 3166 and 3174

(i) The LCM of 3174 and 3166 is associative

LCM of 3166 and 3174 = LCM of 3174 and 3166

Related Least Common Multiples of 3166

Related Least Common Multiples of 3174

Frequently Asked Questions on LCM of 3166 and 3174

1. What is the LCM of 3166 and 3174?

Answer: LCM of 3166 and 3174 is 5024442.

2. What are the Factors of 3166?

Answer: Factors of 3166 are 1, 2, 1583, 3166. There are 4 integers that are factors of 3166. The greatest factor of 3166 is 3166.

3. 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.

4. How to Find the LCM of 3166 and 3174?

Answer:

Least Common Multiple of 3166 and 3174 = 5024442

Step 1: Find the prime factorization of 3166

3166 = 2 x 1583

Step 2: Find the prime factorization of 3174

3174 = 2 x 3 x 23 x 23

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

LCM = 5024442 = 2 x 3 x 23 x 23 x 1583

Step 4: Therefore, the least common multiple of 3166 and 3174 is 5024442.