Least Common Multiple of 3172 and 3176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3172 and 3176 the smallest integer that is 2518568 that is divisible by both numbers.

Least Common Multiple (LCM) of 3172 and 3176 is 2518568.

LCM(3172,3176) = 2518568

LCM of 3172 and 3176

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

LCM of:
and

Least Common Multiple of 3172 and 3176

LCM of 3172 and 3176 is 2518568

Least common multiple can be found by multiplying the highest exponent prime factors of 3172 and 3176. First we will calculate the prime factors of 3172 and 3176.

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

Prime Factorization of 3176


2 3176
2 1588
2 794
397 397
1

Prime factors of 3176 are 2,397. Prime factorization of 3176 in exponential form is:

3176 = 23×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 3172 and 3176.

LCM(3172,3176) = 23×131×611×3971
LCM(3172,3176) = 2518568

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

Factors of 3176

List of positive integer factors of 3176 that divides 3176 without a remainder.

1, 2, 4, 8, 397, 794, 1588, 3176

Least Common Multiple of 3172 and 3176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3172 and 3176, than apply into the LCM equation.

GCF(3172,3176) = 4
LCM(3172,3176) = ( 3172 × 3176) / 4
LCM(3172,3176) = 10074272 / 4
LCM(3172,3176) = 2518568

Properties of LCM 3172 and 3176

(i) The LCM of 3176 and 3172 is associative

LCM of 3172 and 3176 = LCM of 3176 and 3172

Related Least Common Multiples of 3172

Related Least Common Multiples of 3176

Frequently Asked Questions on LCM of 3172 and 3176

1. What is the LCM of 3172 and 3176?

Answer: LCM of 3172 and 3176 is 2518568.

2. 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.

3. What are the Factors of 3176?

Answer: Factors of 3176 are 1, 2, 4, 8, 397, 794, 1588, 3176. There are 8 integers that are factors of 3176. The greatest factor of 3176 is 3176.

4. How to Find the LCM of 3172 and 3176?

Answer:

Least Common Multiple of 3172 and 3176 = 2518568

Step 1: Find the prime factorization of 3172

3172 = 2 x 2 x 13 x 61

Step 2: Find the prime factorization of 3176

3176 = 2 x 2 x 2 x 397

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

LCM = 2518568 = 2 x 2 x 2 x 13 x 61 x 397

Step 4: Therefore, the least common multiple of 3172 and 3176 is 2518568.