Least Common Multiple of 5086 and 5090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5086 and 5090 the smallest integer that is 12943870 that is divisible by both numbers.

Least Common Multiple (LCM) of 5086 and 5090 is 12943870.

LCM(5086,5090) = 12943870

LCM of 5086 and 5090

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

LCM of:
and

Least Common Multiple of 5086 and 5090

LCM of 5086 and 5090 is 12943870

Least common multiple can be found by multiplying the highest exponent prime factors of 5086 and 5090. First we will calculate the prime factors of 5086 and 5090.

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

Prime Factorization of 5090


2 5090
5 2545
509 509
1

Prime factors of 5090 are 2, 5,509. Prime factorization of 5090 in exponential form is:

5090 = 21×51×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 5086 and 5090.

LCM(5086,5090) = 21×51×5091×25431
LCM(5086,5090) = 12943870

Factors of 5086

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

1, 2, 2543, 5086

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1, 2, 5, 10, 509, 1018, 2545, 5090

Least Common Multiple of 5086 and 5090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5086 and 5090, than apply into the LCM equation.

GCF(5086,5090) = 2
LCM(5086,5090) = ( 5086 × 5090) / 2
LCM(5086,5090) = 25887740 / 2
LCM(5086,5090) = 12943870

Properties of LCM 5086 and 5090

(i) The LCM of 5090 and 5086 is associative

LCM of 5086 and 5090 = LCM of 5090 and 5086

Related Least Common Multiples of 5086

Related Least Common Multiples of 5090

Frequently Asked Questions on LCM of 5086 and 5090

1. What is the LCM of 5086 and 5090?

Answer: LCM of 5086 and 5090 is 12943870.

2. 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.

3. What are the Factors of 5090?

Answer: Factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090. There are 8 integers that are factors of 5090. The greatest factor of 5090 is 5090.

4. How to Find the LCM of 5086 and 5090?

Answer:

Least Common Multiple of 5086 and 5090 = 12943870

Step 1: Find the prime factorization of 5086

5086 = 2 x 2543

Step 2: Find the prime factorization of 5090

5090 = 2 x 5 x 509

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

LCM = 12943870 = 2 x 5 x 509 x 2543

Step 4: Therefore, the least common multiple of 5086 and 5090 is 12943870.