Least Common Multiple of 8082 and 8088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8082 and 8088 the smallest integer that is 10894536 that is divisible by both numbers.

Least Common Multiple (LCM) of 8082 and 8088 is 10894536.

LCM(8082,8088) = 10894536

LCM of 8082 and 8088

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

LCM of:
and

Least Common Multiple of 8082 and 8088

LCM of 8082 and 8088 is 10894536

Least common multiple can be found by multiplying the highest exponent prime factors of 8082 and 8088. First we will calculate the prime factors of 8082 and 8088.

Prime Factorization of 8082


2 8082
3 4041
3 1347
449 449
1

Prime factors of 8082 are 2, 3,449. Prime factorization of 8082 in exponential form is:

8082 = 21×32×4491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8082 and 8088.

LCM(8082,8088) = 23×32×3371×4491
LCM(8082,8088) = 10894536

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082

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

Least Common Multiple of 8082 and 8088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8082 and 8088, than apply into the LCM equation.

GCF(8082,8088) = 6
LCM(8082,8088) = ( 8082 × 8088) / 6
LCM(8082,8088) = 65367216 / 6
LCM(8082,8088) = 10894536

Properties of LCM 8082 and 8088

(i) The LCM of 8088 and 8082 is associative

LCM of 8082 and 8088 = LCM of 8088 and 8082

Related Least Common Multiples of 8082

Related Least Common Multiples of 8088

Frequently Asked Questions on LCM of 8082 and 8088

1. What is the LCM of 8082 and 8088?

Answer: LCM of 8082 and 8088 is 10894536.

2. What are the Factors of 8082?

Answer: Factors of 8082 are 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082. There are 12 integers that are factors of 8082. The greatest factor of 8082 is 8082.

3. 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.

4. How to Find the LCM of 8082 and 8088?

Answer:

Least Common Multiple of 8082 and 8088 = 10894536

Step 1: Find the prime factorization of 8082

8082 = 2 x 3 x 3 x 449

Step 2: Find the prime factorization of 8088

8088 = 2 x 2 x 2 x 3 x 337

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

LCM = 10894536 = 2 x 2 x 2 x 3 x 3 x 337 x 449

Step 4: Therefore, the least common multiple of 8082 and 8088 is 10894536.