Least Common Multiple of 7167 and 7171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7167 and 7171 the smallest integer that is 51394557 that is divisible by both numbers.

Least Common Multiple (LCM) of 7167 and 7171 is 51394557.

LCM(7167,7171) = 51394557

LCM of 7167 and 7171

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

LCM of:
and

Least Common Multiple of 7167 and 7171

LCM of 7167 and 7171 is 51394557

Least common multiple can be found by multiplying the highest exponent prime factors of 7167 and 7171. First we will calculate the prime factors of 7167 and 7171.

Prime Factorization of 7167


3 7167
2389 2389
1

Prime factors of 7167 are 3,2389. Prime factorization of 7167 in exponential form is:

7167 = 31×23891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7167 and 7171.

LCM(7167,7171) = 31×711×1011×23891
LCM(7167,7171) = 51394557

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1, 3, 2389, 7167

Factors of 7171

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

1, 71, 101, 7171

Least Common Multiple of 7167 and 7171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7167 and 7171, than apply into the LCM equation.

GCF(7167,7171) = 1
LCM(7167,7171) = ( 7167 × 7171) / 1
LCM(7167,7171) = 51394557 / 1
LCM(7167,7171) = 51394557

Properties of LCM 7167 and 7171

(i) The LCM of 7171 and 7167 is associative

LCM of 7167 and 7171 = LCM of 7171 and 7167

Related Least Common Multiples of 7167

Related Least Common Multiples of 7171

Frequently Asked Questions on LCM of 7167 and 7171

1. What is the LCM of 7167 and 7171?

Answer: LCM of 7167 and 7171 is 51394557.

2. What are the Factors of 7167?

Answer: Factors of 7167 are 1, 3, 2389, 7167. There are 4 integers that are factors of 7167. The greatest factor of 7167 is 7167.

3. 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.

4. How to Find the LCM of 7167 and 7171?

Answer:

Least Common Multiple of 7167 and 7171 = 51394557

Step 1: Find the prime factorization of 7167

7167 = 3 x 2389

Step 2: Find the prime factorization of 7171

7171 = 71 x 101

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

LCM = 51394557 = 3 x 71 x 101 x 2389

Step 4: Therefore, the least common multiple of 7167 and 7171 is 51394557.