Least Common Multiple of 5170 and 5174

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 5174 the smallest integer that is 13374790 that is divisible by both numbers.

Least Common Multiple (LCM) of 5170 and 5174 is 13374790.

LCM(5170,5174) = 13374790

LCM of 5170 and 5174

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

LCM of:
and

Least Common Multiple of 5170 and 5174

LCM of 5170 and 5174 is 13374790

Least common multiple can be found by multiplying the highest exponent prime factors of 5170 and 5174. First we will calculate the prime factors of 5170 and 5174.

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 5174


2 5174
13 2587
199 199
1

Prime factors of 5174 are 2, 13,199. Prime factorization of 5174 in exponential form is:

5174 = 21×131×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5170 and 5174.

LCM(5170,5174) = 21×51×111×131×471×1991
LCM(5170,5174) = 13374790

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 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1, 2, 13, 26, 199, 398, 2587, 5174

Least Common Multiple of 5170 and 5174 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 5174, than apply into the LCM equation.

GCF(5170,5174) = 2
LCM(5170,5174) = ( 5170 × 5174) / 2
LCM(5170,5174) = 26749580 / 2
LCM(5170,5174) = 13374790

Properties of LCM 5170 and 5174

(i) The LCM of 5174 and 5170 is associative

LCM of 5170 and 5174 = LCM of 5174 and 5170

Related Least Common Multiples of 5170

Related Least Common Multiples of 5174

Frequently Asked Questions on LCM of 5170 and 5174

1. What is the LCM of 5170 and 5174?

Answer: LCM of 5170 and 5174 is 13374790.

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 5174?

Answer: Factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174. There are 8 integers that are factors of 5174. The greatest factor of 5174 is 5174.

4. How to Find the LCM of 5170 and 5174?

Answer:

Least Common Multiple of 5170 and 5174 = 13374790

Step 1: Find the prime factorization of 5170

5170 = 2 x 5 x 11 x 47

Step 2: Find the prime factorization of 5174

5174 = 2 x 13 x 199

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

LCM = 13374790 = 2 x 5 x 11 x 13 x 47 x 199

Step 4: Therefore, the least common multiple of 5170 and 5174 is 13374790.