Least Common Multiple of 3170 and 3172

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 3172 the smallest integer that is 5027620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3170 and 3172 is 5027620.

LCM(3170,3172) = 5027620

LCM of 3170 and 3172

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

LCM of:
and

Least Common Multiple of 3170 and 3172

LCM of 3170 and 3172 is 5027620

Least common multiple can be found by multiplying the highest exponent prime factors of 3170 and 3172. First we will calculate the prime factors of 3170 and 3172.

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 3172


2 3172
2 1586
13 793
61 61
1

Prime factors of 3172 are 2, 13,61. Prime factorization of 3172 in exponential form is:

3172 = 22×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3170 and 3172.

LCM(3170,3172) = 22×51×131×611×3171
LCM(3170,3172) = 5027620

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 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172

Least Common Multiple of 3170 and 3172 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 3172, than apply into the LCM equation.

GCF(3170,3172) = 2
LCM(3170,3172) = ( 3170 × 3172) / 2
LCM(3170,3172) = 10055240 / 2
LCM(3170,3172) = 5027620

Properties of LCM 3170 and 3172

(i) The LCM of 3172 and 3170 is associative

LCM of 3170 and 3172 = LCM of 3172 and 3170

Related Least Common Multiples of 3170

Related Least Common Multiples of 3172

Frequently Asked Questions on LCM of 3170 and 3172

1. What is the LCM of 3170 and 3172?

Answer: LCM of 3170 and 3172 is 5027620.

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 3172?

Answer: Factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172. There are 12 integers that are factors of 3172. The greatest factor of 3172 is 3172.

4. How to Find the LCM of 3170 and 3172?

Answer:

Least Common Multiple of 3170 and 3172 = 5027620

Step 1: Find the prime factorization of 3170

3170 = 2 x 5 x 317

Step 2: Find the prime factorization of 3172

3172 = 2 x 2 x 13 x 61

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

LCM = 5027620 = 2 x 2 x 5 x 13 x 61 x 317

Step 4: Therefore, the least common multiple of 3170 and 3172 is 5027620.