Least Common Multiple of 5086 and 5088

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 5088 the smallest integer that is 12938784 that is divisible by both numbers.

Least Common Multiple (LCM) of 5086 and 5088 is 12938784.

LCM(5086,5088) = 12938784

LCM of 5086 and 5088

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

LCM of:
and

Least Common Multiple of 5086 and 5088

LCM of 5086 and 5088 is 12938784

Least common multiple can be found by multiplying the highest exponent prime factors of 5086 and 5088. First we will calculate the prime factors of 5086 and 5088.

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 5088


2 5088
2 2544
2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 5088 are 2, 3,53. Prime factorization of 5088 in exponential form is:

5088 = 25×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5086 and 5088.

LCM(5086,5088) = 25×31×531×25431
LCM(5086,5088) = 12938784

Factors of 5086

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

1, 2, 2543, 5086

Factors of 5088

List of positive integer factors of 5088 that divides 5088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088

Least Common Multiple of 5086 and 5088 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 5088, than apply into the LCM equation.

GCF(5086,5088) = 2
LCM(5086,5088) = ( 5086 × 5088) / 2
LCM(5086,5088) = 25877568 / 2
LCM(5086,5088) = 12938784

Properties of LCM 5086 and 5088

(i) The LCM of 5088 and 5086 is associative

LCM of 5086 and 5088 = LCM of 5088 and 5086

Related Least Common Multiples of 5086

Related Least Common Multiples of 5088

Frequently Asked Questions on LCM of 5086 and 5088

1. What is the LCM of 5086 and 5088?

Answer: LCM of 5086 and 5088 is 12938784.

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 5088?

Answer: Factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088. There are 24 integers that are factors of 5088. The greatest factor of 5088 is 5088.

4. How to Find the LCM of 5086 and 5088?

Answer:

Least Common Multiple of 5086 and 5088 = 12938784

Step 1: Find the prime factorization of 5086

5086 = 2 x 2543

Step 2: Find the prime factorization of 5088

5088 = 2 x 2 x 2 x 2 x 2 x 3 x 53

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

LCM = 12938784 = 2 x 2 x 2 x 2 x 2 x 3 x 53 x 2543

Step 4: Therefore, the least common multiple of 5086 and 5088 is 12938784.