Least Common Multiple of 8088 and 8095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8088 and 8095 the smallest integer that is 65472360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8088 and 8095 is 65472360.

LCM(8088,8095) = 65472360

LCM of 8088 and 8095

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

LCM of:
and

Least Common Multiple of 8088 and 8095

LCM of 8088 and 8095 is 65472360

Least common multiple can be found by multiplying the highest exponent prime factors of 8088 and 8095. First we will calculate the prime factors of 8088 and 8095.

Prime Factorization of 8088


2 8088
2 4044
2 2022
3 1011
337 337
1

Prime factors of 8088 are 2, 3,337. Prime factorization of 8088 in exponential form is:

8088 = 23×31×3371

Prime Factorization of 8095


5 8095
1619 1619
1

Prime factors of 8095 are 5,1619. Prime factorization of 8095 in exponential form is:

8095 = 51×16191

Now multiplying the highest exponent prime factors to calculate the LCM of 8088 and 8095.

LCM(8088,8095) = 23×31×51×3371×16191
LCM(8088,8095) = 65472360

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088

Factors of 8095

List of positive integer factors of 8095 that divides 8095 without a remainder.

1, 5, 1619, 8095

Least Common Multiple of 8088 and 8095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8088 and 8095, than apply into the LCM equation.

GCF(8088,8095) = 1
LCM(8088,8095) = ( 8088 × 8095) / 1
LCM(8088,8095) = 65472360 / 1
LCM(8088,8095) = 65472360

Properties of LCM 8088 and 8095

(i) The LCM of 8095 and 8088 is associative

LCM of 8088 and 8095 = LCM of 8095 and 8088

Related Least Common Multiples of 8088

Related Least Common Multiples of 8095

Frequently Asked Questions on LCM of 8088 and 8095

1. What is the LCM of 8088 and 8095?

Answer: LCM of 8088 and 8095 is 65472360.

2. What are the Factors of 8088?

Answer: Factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088. There are 16 integers that are factors of 8088. The greatest factor of 8088 is 8088.

3. What are the Factors of 8095?

Answer: Factors of 8095 are 1, 5, 1619, 8095. There are 4 integers that are factors of 8095. The greatest factor of 8095 is 8095.

4. How to Find the LCM of 8088 and 8095?

Answer:

Least Common Multiple of 8088 and 8095 = 65472360

Step 1: Find the prime factorization of 8088

8088 = 2 x 2 x 2 x 3 x 337

Step 2: Find the prime factorization of 8095

8095 = 5 x 1619

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

LCM = 65472360 = 2 x 2 x 2 x 3 x 5 x 337 x 1619

Step 4: Therefore, the least common multiple of 8088 and 8095 is 65472360.