Least Common Multiple of 7171 and 7176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7171 and 7176 the smallest integer that is 51459096 that is divisible by both numbers.

Least Common Multiple (LCM) of 7171 and 7176 is 51459096.

LCM(7171,7176) = 51459096

LCM of 7171 and 7176

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

LCM of:
and

Least Common Multiple of 7171 and 7176

LCM of 7171 and 7176 is 51459096

Least common multiple can be found by multiplying the highest exponent prime factors of 7171 and 7176. First we will calculate the prime factors of 7171 and 7176.

Prime Factorization of 7171


71 7171
101 101
1

Prime factors of 7171 are 71,101. Prime factorization of 7171 in exponential form is:

7171 = 711×1011

Prime Factorization of 7176


2 7176
2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 7176 are 2, 3, 13,23. Prime factorization of 7176 in exponential form is:

7176 = 23×31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7171 and 7176.

LCM(7171,7176) = 23×31×131×231×711×1011
LCM(7171,7176) = 51459096

Factors of 7171

List of positive integer factors of 7171 that divides 7171 without a remainder.

1, 71, 101, 7171

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176

Least Common Multiple of 7171 and 7176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7171 and 7176, than apply into the LCM equation.

GCF(7171,7176) = 1
LCM(7171,7176) = ( 7171 × 7176) / 1
LCM(7171,7176) = 51459096 / 1
LCM(7171,7176) = 51459096

Properties of LCM 7171 and 7176

(i) The LCM of 7176 and 7171 is associative

LCM of 7171 and 7176 = LCM of 7176 and 7171

Related Least Common Multiples of 7171

Related Least Common Multiples of 7176

Frequently Asked Questions on LCM of 7171 and 7176

1. What is the LCM of 7171 and 7176?

Answer: LCM of 7171 and 7176 is 51459096.

2. What are the Factors of 7171?

Answer: Factors of 7171 are 1, 71, 101, 7171. There are 4 integers that are factors of 7171. The greatest factor of 7171 is 7171.

3. What are the Factors of 7176?

Answer: Factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176. There are 32 integers that are factors of 7176. The greatest factor of 7176 is 7176.

4. How to Find the LCM of 7171 and 7176?

Answer:

Least Common Multiple of 7171 and 7176 = 51459096

Step 1: Find the prime factorization of 7171

7171 = 71 x 101

Step 2: Find the prime factorization of 7176

7176 = 2 x 2 x 2 x 3 x 13 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 = 51459096 = 2 x 2 x 2 x 3 x 13 x 23 x 71 x 101

Step 4: Therefore, the least common multiple of 7171 and 7176 is 51459096.