Least Common Multiple of 5162 and 5169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5162 and 5169 the smallest integer that is 26682378 that is divisible by both numbers.

Least Common Multiple (LCM) of 5162 and 5169 is 26682378.

LCM(5162,5169) = 26682378

LCM of 5162 and 5169

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

LCM of:
and

Least Common Multiple of 5162 and 5169

LCM of 5162 and 5169 is 26682378

Least common multiple can be found by multiplying the highest exponent prime factors of 5162 and 5169. First we will calculate the prime factors of 5162 and 5169.

Prime Factorization of 5162


2 5162
29 2581
89 89
1

Prime factors of 5162 are 2, 29,89. Prime factorization of 5162 in exponential form is:

5162 = 21×291×891

Prime Factorization of 5169


3 5169
1723 1723
1

Prime factors of 5169 are 3,1723. Prime factorization of 5169 in exponential form is:

5169 = 31×17231

Now multiplying the highest exponent prime factors to calculate the LCM of 5162 and 5169.

LCM(5162,5169) = 21×31×291×891×17231
LCM(5162,5169) = 26682378

Factors of 5162

List of positive integer factors of 5162 that divides 5162 without a remainder.

1, 2, 29, 58, 89, 178, 2581, 5162

Factors of 5169

List of positive integer factors of 5169 that divides 5169 without a remainder.

1, 3, 1723, 5169

Least Common Multiple of 5162 and 5169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5162 and 5169, than apply into the LCM equation.

GCF(5162,5169) = 1
LCM(5162,5169) = ( 5162 × 5169) / 1
LCM(5162,5169) = 26682378 / 1
LCM(5162,5169) = 26682378

Properties of LCM 5162 and 5169

(i) The LCM of 5169 and 5162 is associative

LCM of 5162 and 5169 = LCM of 5169 and 5162

Related Least Common Multiples of 5162

Related Least Common Multiples of 5169

Frequently Asked Questions on LCM of 5162 and 5169

1. What is the LCM of 5162 and 5169?

Answer: LCM of 5162 and 5169 is 26682378.

2. What are the Factors of 5162?

Answer: Factors of 5162 are 1, 2, 29, 58, 89, 178, 2581, 5162. There are 8 integers that are factors of 5162. The greatest factor of 5162 is 5162.

3. What are the Factors of 5169?

Answer: Factors of 5169 are 1, 3, 1723, 5169. There are 4 integers that are factors of 5169. The greatest factor of 5169 is 5169.

4. How to Find the LCM of 5162 and 5169?

Answer:

Least Common Multiple of 5162 and 5169 = 26682378

Step 1: Find the prime factorization of 5162

5162 = 2 x 29 x 89

Step 2: Find the prime factorization of 5169

5169 = 3 x 1723

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

LCM = 26682378 = 2 x 3 x 29 x 89 x 1723

Step 4: Therefore, the least common multiple of 5162 and 5169 is 26682378.