Least Common Multiple of 5162 and 5165

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 5165 the smallest integer that is 26661730 that is divisible by both numbers.

Least Common Multiple (LCM) of 5162 and 5165 is 26661730.

LCM(5162,5165) = 26661730

LCM of 5162 and 5165

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

LCM of:
and

Least Common Multiple of 5162 and 5165

LCM of 5162 and 5165 is 26661730

Least common multiple can be found by multiplying the highest exponent prime factors of 5162 and 5165. First we will calculate the prime factors of 5162 and 5165.

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 5165


5 5165
1033 1033
1

Prime factors of 5165 are 5,1033. Prime factorization of 5165 in exponential form is:

5165 = 51×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 5162 and 5165.

LCM(5162,5165) = 21×51×291×891×10331
LCM(5162,5165) = 26661730

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 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1, 5, 1033, 5165

Least Common Multiple of 5162 and 5165 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 5165, than apply into the LCM equation.

GCF(5162,5165) = 1
LCM(5162,5165) = ( 5162 × 5165) / 1
LCM(5162,5165) = 26661730 / 1
LCM(5162,5165) = 26661730

Properties of LCM 5162 and 5165

(i) The LCM of 5165 and 5162 is associative

LCM of 5162 and 5165 = LCM of 5165 and 5162

Related Least Common Multiples of 5162

Related Least Common Multiples of 5165

Frequently Asked Questions on LCM of 5162 and 5165

1. What is the LCM of 5162 and 5165?

Answer: LCM of 5162 and 5165 is 26661730.

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 5165?

Answer: Factors of 5165 are 1, 5, 1033, 5165. There are 4 integers that are factors of 5165. The greatest factor of 5165 is 5165.

4. How to Find the LCM of 5162 and 5165?

Answer:

Least Common Multiple of 5162 and 5165 = 26661730

Step 1: Find the prime factorization of 5162

5162 = 2 x 29 x 89

Step 2: Find the prime factorization of 5165

5165 = 5 x 1033

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

LCM = 26661730 = 2 x 5 x 29 x 89 x 1033

Step 4: Therefore, the least common multiple of 5162 and 5165 is 26661730.