Least Common Multiple of 5170 and 5176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5170 and 5176 the smallest integer that is 13379960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5170 and 5176 is 13379960.

LCM(5170,5176) = 13379960

LCM of 5170 and 5176

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

LCM of:
and

Least Common Multiple of 5170 and 5176

LCM of 5170 and 5176 is 13379960

Least common multiple can be found by multiplying the highest exponent prime factors of 5170 and 5176. First we will calculate the prime factors of 5170 and 5176.

Prime Factorization of 5170


2 5170
5 2585
11 517
47 47
1

Prime factors of 5170 are 2, 5, 11,47. Prime factorization of 5170 in exponential form is:

5170 = 21×51×111×471

Prime Factorization of 5176


2 5176
2 2588
2 1294
647 647
1

Prime factors of 5176 are 2,647. Prime factorization of 5176 in exponential form is:

5176 = 23×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 5170 and 5176.

LCM(5170,5176) = 23×51×111×471×6471
LCM(5170,5176) = 13379960

Factors of 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170

Factors of 5176

List of positive integer factors of 5176 that divides 5176 without a remainder.

1, 2, 4, 8, 647, 1294, 2588, 5176

Least Common Multiple of 5170 and 5176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5170 and 5176, than apply into the LCM equation.

GCF(5170,5176) = 2
LCM(5170,5176) = ( 5170 × 5176) / 2
LCM(5170,5176) = 26759920 / 2
LCM(5170,5176) = 13379960

Properties of LCM 5170 and 5176

(i) The LCM of 5176 and 5170 is associative

LCM of 5170 and 5176 = LCM of 5176 and 5170

Related Least Common Multiples of 5170

Related Least Common Multiples of 5176

Frequently Asked Questions on LCM of 5170 and 5176

1. What is the LCM of 5170 and 5176?

Answer: LCM of 5170 and 5176 is 13379960.

2. What are the Factors of 5170?

Answer: Factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170. There are 16 integers that are factors of 5170. The greatest factor of 5170 is 5170.

3. What are the Factors of 5176?

Answer: Factors of 5176 are 1, 2, 4, 8, 647, 1294, 2588, 5176. There are 8 integers that are factors of 5176. The greatest factor of 5176 is 5176.

4. How to Find the LCM of 5170 and 5176?

Answer:

Least Common Multiple of 5170 and 5176 = 13379960

Step 1: Find the prime factorization of 5170

5170 = 2 x 5 x 11 x 47

Step 2: Find the prime factorization of 5176

5176 = 2 x 2 x 2 x 647

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

LCM = 13379960 = 2 x 2 x 2 x 5 x 11 x 47 x 647

Step 4: Therefore, the least common multiple of 5170 and 5176 is 13379960.