Least Common Multiple of 5087 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 5087 and 5088 the smallest integer that is 25882656 that is divisible by both numbers.

Least Common Multiple (LCM) of 5087 and 5088 is 25882656.

LCM(5087,5088) = 25882656

LCM of 5087 and 5088

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

LCM of:
and

Least Common Multiple of 5087 and 5088

LCM of 5087 and 5088 is 25882656

Least common multiple can be found by multiplying the highest exponent prime factors of 5087 and 5088. First we will calculate the prime factors of 5087 and 5088.

Prime Factorization of 5087


5087 5087
1

Prime factors of 5087 are 5087. Prime factorization of 5087 in exponential form is:

5087 = 50871

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 5087 and 5088.

LCM(5087,5088) = 25×31×531×50871
LCM(5087,5088) = 25882656

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1, 5087

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 5087 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 5087 and 5088, than apply into the LCM equation.

GCF(5087,5088) = 1
LCM(5087,5088) = ( 5087 × 5088) / 1
LCM(5087,5088) = 25882656 / 1
LCM(5087,5088) = 25882656

Properties of LCM 5087 and 5088

(i) The LCM of 5088 and 5087 is associative

LCM of 5087 and 5088 = LCM of 5088 and 5087

Related Least Common Multiples of 5087

Related Least Common Multiples of 5088

Frequently Asked Questions on LCM of 5087 and 5088

1. What is the LCM of 5087 and 5088?

Answer: LCM of 5087 and 5088 is 25882656.

2. What are the Factors of 5087?

Answer: Factors of 5087 are 1, 5087. There are 2 integers that are factors of 5087. The greatest factor of 5087 is 5087.

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 5087 and 5088?

Answer:

Least Common Multiple of 5087 and 5088 = 25882656

Step 1: Find the prime factorization of 5087

5087 = 5087

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 = 25882656 = 2 x 2 x 2 x 2 x 2 x 3 x 53 x 5087

Step 4: Therefore, the least common multiple of 5087 and 5088 is 25882656.