Least Common Multiple of 5167 and 5171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5167 and 5171 the smallest integer that is 26718557 that is divisible by both numbers.

Least Common Multiple (LCM) of 5167 and 5171 is 26718557.

LCM(5167,5171) = 26718557

LCM of 5167 and 5171

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

LCM of:
and

Least Common Multiple of 5167 and 5171

LCM of 5167 and 5171 is 26718557

Least common multiple can be found by multiplying the highest exponent prime factors of 5167 and 5171. First we will calculate the prime factors of 5167 and 5171.

Prime Factorization of 5167


5167 5167
1

Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:

5167 = 51671

Prime Factorization of 5171


5171 5171
1

Prime factors of 5171 are 5171. Prime factorization of 5171 in exponential form is:

5171 = 51711

Now multiplying the highest exponent prime factors to calculate the LCM of 5167 and 5171.

LCM(5167,5171) = 51671×51711
LCM(5167,5171) = 26718557

Factors of 5167

List of positive integer factors of 5167 that divides 5167 without a remainder.

1, 5167

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1, 5171

Least Common Multiple of 5167 and 5171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5167 and 5171, than apply into the LCM equation.

GCF(5167,5171) = 1
LCM(5167,5171) = ( 5167 × 5171) / 1
LCM(5167,5171) = 26718557 / 1
LCM(5167,5171) = 26718557

Properties of LCM 5167 and 5171

(i) The LCM of 5171 and 5167 is associative

LCM of 5167 and 5171 = LCM of 5171 and 5167

Related Least Common Multiples of 5167

Related Least Common Multiples of 5171

Frequently Asked Questions on LCM of 5167 and 5171

1. What is the LCM of 5167 and 5171?

Answer: LCM of 5167 and 5171 is 26718557.

2. What are the Factors of 5167?

Answer: Factors of 5167 are 1, 5167. There are 2 integers that are factors of 5167. The greatest factor of 5167 is 5167.

3. What are the Factors of 5171?

Answer: Factors of 5171 are 1, 5171. There are 2 integers that are factors of 5171. The greatest factor of 5171 is 5171.

4. How to Find the LCM of 5167 and 5171?

Answer:

Least Common Multiple of 5167 and 5171 = 26718557

Step 1: Find the prime factorization of 5167

5167 = 5167

Step 2: Find the prime factorization of 5171

5171 = 5171

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

LCM = 26718557 = 5167 x 5171

Step 4: Therefore, the least common multiple of 5167 and 5171 is 26718557.