Least Common Multiple of 3171 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 3171 and 3176 the smallest integer that is 10071096 that is divisible by both numbers.

Least Common Multiple (LCM) of 3171 and 3176 is 10071096.

LCM(3171,3176) = 10071096

LCM of 3171 and 3176

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

LCM of:
and

Least Common Multiple of 3171 and 3176

LCM of 3171 and 3176 is 10071096

Least common multiple can be found by multiplying the highest exponent prime factors of 3171 and 3176. First we will calculate the prime factors of 3171 and 3176.

Prime Factorization of 3171


3 3171
7 1057
151 151
1

Prime factors of 3171 are 3, 7,151. Prime factorization of 3171 in exponential form is:

3171 = 31×71×1511

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 3171 and 3176.

LCM(3171,3176) = 23×31×71×1511×3971
LCM(3171,3176) = 10071096

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1, 3, 7, 21, 151, 453, 1057, 3171

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 3171 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 3171 and 3176, than apply into the LCM equation.

GCF(3171,3176) = 1
LCM(3171,3176) = ( 3171 × 3176) / 1
LCM(3171,3176) = 10071096 / 1
LCM(3171,3176) = 10071096

Properties of LCM 3171 and 3176

(i) The LCM of 3176 and 3171 is associative

LCM of 3171 and 3176 = LCM of 3176 and 3171

Related Least Common Multiples of 3171

Related Least Common Multiples of 3176

Frequently Asked Questions on LCM of 3171 and 3176

1. What is the LCM of 3171 and 3176?

Answer: LCM of 3171 and 3176 is 10071096.

2. What are the Factors of 3171?

Answer: Factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171. There are 8 integers that are factors of 3171. The greatest factor of 3171 is 3171.

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 3171 and 3176?

Answer:

Least Common Multiple of 3171 and 3176 = 10071096

Step 1: Find the prime factorization of 3171

3171 = 3 x 7 x 151

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 = 10071096 = 2 x 2 x 2 x 3 x 7 x 151 x 397

Step 4: Therefore, the least common multiple of 3171 and 3176 is 10071096.