Least Common Multiple of 5088 and 5095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5088 and 5095 the smallest integer that is 25923360 that is divisible by both numbers.

Least Common Multiple (LCM) of 5088 and 5095 is 25923360.

LCM(5088,5095) = 25923360

LCM of 5088 and 5095

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

LCM of:
and

Least Common Multiple of 5088 and 5095

LCM of 5088 and 5095 is 25923360

Least common multiple can be found by multiplying the highest exponent prime factors of 5088 and 5095. First we will calculate the prime factors of 5088 and 5095.

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

Prime Factorization of 5095


5 5095
1019 1019
1

Prime factors of 5095 are 5,1019. Prime factorization of 5095 in exponential form is:

5095 = 51×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 5088 and 5095.

LCM(5088,5095) = 25×31×51×531×10191
LCM(5088,5095) = 25923360

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

Factors of 5095

List of positive integer factors of 5095 that divides 5095 without a remainder.

1, 5, 1019, 5095

Least Common Multiple of 5088 and 5095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5088 and 5095, than apply into the LCM equation.

GCF(5088,5095) = 1
LCM(5088,5095) = ( 5088 × 5095) / 1
LCM(5088,5095) = 25923360 / 1
LCM(5088,5095) = 25923360

Properties of LCM 5088 and 5095

(i) The LCM of 5095 and 5088 is associative

LCM of 5088 and 5095 = LCM of 5095 and 5088

Related Least Common Multiples of 5088

Related Least Common Multiples of 5095

Frequently Asked Questions on LCM of 5088 and 5095

1. What is the LCM of 5088 and 5095?

Answer: LCM of 5088 and 5095 is 25923360.

2. 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.

3. What are the Factors of 5095?

Answer: Factors of 5095 are 1, 5, 1019, 5095. There are 4 integers that are factors of 5095. The greatest factor of 5095 is 5095.

4. How to Find the LCM of 5088 and 5095?

Answer:

Least Common Multiple of 5088 and 5095 = 25923360

Step 1: Find the prime factorization of 5088

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

Step 2: Find the prime factorization of 5095

5095 = 5 x 1019

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

LCM = 25923360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 53 x 1019

Step 4: Therefore, the least common multiple of 5088 and 5095 is 25923360.