Least Common Multiple of 3170 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 3170 and 3174 the smallest integer that is 5030790 that is divisible by both numbers.

Least Common Multiple (LCM) of 3170 and 3174 is 5030790.

LCM(3170,3174) = 5030790

LCM of 3170 and 3174

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

LCM of:
and

Least Common Multiple of 3170 and 3174

LCM of 3170 and 3174 is 5030790

Least common multiple can be found by multiplying the highest exponent prime factors of 3170 and 3174. First we will calculate the prime factors of 3170 and 3174.

Prime Factorization of 3170


2 3170
5 1585
317 317
1

Prime factors of 3170 are 2, 5,317. Prime factorization of 3170 in exponential form is:

3170 = 21×51×3171

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 3170 and 3174.

LCM(3170,3174) = 21×31×51×232×3171
LCM(3170,3174) = 5030790

Factors of 3170

List of positive integer factors of 3170 that divides 3170 without a remainder.

1, 2, 5, 10, 317, 634, 1585, 3170

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 3170 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 3170 and 3174, than apply into the LCM equation.

GCF(3170,3174) = 2
LCM(3170,3174) = ( 3170 × 3174) / 2
LCM(3170,3174) = 10061580 / 2
LCM(3170,3174) = 5030790

Properties of LCM 3170 and 3174

(i) The LCM of 3174 and 3170 is associative

LCM of 3170 and 3174 = LCM of 3174 and 3170

Related Least Common Multiples of 3170

Related Least Common Multiples of 3174

Frequently Asked Questions on LCM of 3170 and 3174

1. What is the LCM of 3170 and 3174?

Answer: LCM of 3170 and 3174 is 5030790.

2. What are the Factors of 3170?

Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.

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 3170 and 3174?

Answer:

Least Common Multiple of 3170 and 3174 = 5030790

Step 1: Find the prime factorization of 3170

3170 = 2 x 5 x 317

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 = 5030790 = 2 x 3 x 5 x 23 x 23 x 317

Step 4: Therefore, the least common multiple of 3170 and 3174 is 5030790.