Least Common Multiple of 5079 and 5086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5079 and 5086 the smallest integer that is 25831794 that is divisible by both numbers.

Least Common Multiple (LCM) of 5079 and 5086 is 25831794.

LCM(5079,5086) = 25831794

LCM of 5079 and 5086

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

LCM of:
and

Least Common Multiple of 5079 and 5086

LCM of 5079 and 5086 is 25831794

Least common multiple can be found by multiplying the highest exponent prime factors of 5079 and 5086. First we will calculate the prime factors of 5079 and 5086.

Prime Factorization of 5079


3 5079
1693 1693
1

Prime factors of 5079 are 3,1693. Prime factorization of 5079 in exponential form is:

5079 = 31×16931

Prime Factorization of 5086


2 5086
2543 2543
1

Prime factors of 5086 are 2,2543. Prime factorization of 5086 in exponential form is:

5086 = 21×25431

Now multiplying the highest exponent prime factors to calculate the LCM of 5079 and 5086.

LCM(5079,5086) = 21×31×16931×25431
LCM(5079,5086) = 25831794

Factors of 5079

List of positive integer factors of 5079 that divides 5079 without a remainder.

1, 3, 1693, 5079

Factors of 5086

List of positive integer factors of 5086 that divides 5086 without a remainder.

1, 2, 2543, 5086

Least Common Multiple of 5079 and 5086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5079 and 5086, than apply into the LCM equation.

GCF(5079,5086) = 1
LCM(5079,5086) = ( 5079 × 5086) / 1
LCM(5079,5086) = 25831794 / 1
LCM(5079,5086) = 25831794

Properties of LCM 5079 and 5086

(i) The LCM of 5086 and 5079 is associative

LCM of 5079 and 5086 = LCM of 5086 and 5079

Related Least Common Multiples of 5079

Related Least Common Multiples of 5086

Frequently Asked Questions on LCM of 5079 and 5086

1. What is the LCM of 5079 and 5086?

Answer: LCM of 5079 and 5086 is 25831794.

2. What are the Factors of 5079?

Answer: Factors of 5079 are 1, 3, 1693, 5079. There are 4 integers that are factors of 5079. The greatest factor of 5079 is 5079.

3. What are the Factors of 5086?

Answer: Factors of 5086 are 1, 2, 2543, 5086. There are 4 integers that are factors of 5086. The greatest factor of 5086 is 5086.

4. How to Find the LCM of 5079 and 5086?

Answer:

Least Common Multiple of 5079 and 5086 = 25831794

Step 1: Find the prime factorization of 5079

5079 = 3 x 1693

Step 2: Find the prime factorization of 5086

5086 = 2 x 2543

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

LCM = 25831794 = 2 x 3 x 1693 x 2543

Step 4: Therefore, the least common multiple of 5079 and 5086 is 25831794.