Least Common Multiple of 5166 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 5166 and 5171 the smallest integer that is 26713386 that is divisible by both numbers.

Least Common Multiple (LCM) of 5166 and 5171 is 26713386.

LCM(5166,5171) = 26713386

LCM of 5166 and 5171

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

LCM of:
and

Least Common Multiple of 5166 and 5171

LCM of 5166 and 5171 is 26713386

Least common multiple can be found by multiplying the highest exponent prime factors of 5166 and 5171. First we will calculate the prime factors of 5166 and 5171.

Prime Factorization of 5166


2 5166
3 2583
3 861
7 287
41 41
1

Prime factors of 5166 are 2, 3, 7,41. Prime factorization of 5166 in exponential form is:

5166 = 21×32×71×411

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 5166 and 5171.

LCM(5166,5171) = 21×32×71×411×51711
LCM(5166,5171) = 26713386

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166

Factors of 5171

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

1, 5171

Least Common Multiple of 5166 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 5166 and 5171, than apply into the LCM equation.

GCF(5166,5171) = 1
LCM(5166,5171) = ( 5166 × 5171) / 1
LCM(5166,5171) = 26713386 / 1
LCM(5166,5171) = 26713386

Properties of LCM 5166 and 5171

(i) The LCM of 5171 and 5166 is associative

LCM of 5166 and 5171 = LCM of 5171 and 5166

Related Least Common Multiples of 5166

Related Least Common Multiples of 5171

Frequently Asked Questions on LCM of 5166 and 5171

1. What is the LCM of 5166 and 5171?

Answer: LCM of 5166 and 5171 is 26713386.

2. What are the Factors of 5166?

Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.

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 5166 and 5171?

Answer:

Least Common Multiple of 5166 and 5171 = 26713386

Step 1: Find the prime factorization of 5166

5166 = 2 x 3 x 3 x 7 x 41

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 = 26713386 = 2 x 3 x 3 x 7 x 41 x 5171

Step 4: Therefore, the least common multiple of 5166 and 5171 is 26713386.