Least Common Multiple of 5162 and 5167

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 5167 the smallest integer that is 26672054 that is divisible by both numbers.

Least Common Multiple (LCM) of 5162 and 5167 is 26672054.

LCM(5162,5167) = 26672054

LCM of 5162 and 5167

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

LCM of:
and

Least Common Multiple of 5162 and 5167

LCM of 5162 and 5167 is 26672054

Least common multiple can be found by multiplying the highest exponent prime factors of 5162 and 5167. First we will calculate the prime factors of 5162 and 5167.

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 5167


5167 5167
1

Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:

5167 = 51671

Now multiplying the highest exponent prime factors to calculate the LCM of 5162 and 5167.

LCM(5162,5167) = 21×291×891×51671
LCM(5162,5167) = 26672054

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 5167

List of positive integer factors of 5167 that divides 5167 without a remainder.

1, 5167

Least Common Multiple of 5162 and 5167 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 5167, than apply into the LCM equation.

GCF(5162,5167) = 1
LCM(5162,5167) = ( 5162 × 5167) / 1
LCM(5162,5167) = 26672054 / 1
LCM(5162,5167) = 26672054

Properties of LCM 5162 and 5167

(i) The LCM of 5167 and 5162 is associative

LCM of 5162 and 5167 = LCM of 5167 and 5162

Related Least Common Multiples of 5162

Related Least Common Multiples of 5167

Frequently Asked Questions on LCM of 5162 and 5167

1. What is the LCM of 5162 and 5167?

Answer: LCM of 5162 and 5167 is 26672054.

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 5167?

Answer: Factors of 5167 are 1, 5167. There are 2 integers that are factors of 5167. The greatest factor of 5167 is 5167.

4. How to Find the LCM of 5162 and 5167?

Answer:

Least Common Multiple of 5162 and 5167 = 26672054

Step 1: Find the prime factorization of 5162

5162 = 2 x 29 x 89

Step 2: Find the prime factorization of 5167

5167 = 5167

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

LCM = 26672054 = 2 x 29 x 89 x 5167

Step 4: Therefore, the least common multiple of 5162 and 5167 is 26672054.