Least Common Multiple of 8084 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 8084 and 8088 the smallest integer that is 16345848 that is divisible by both numbers.

Least Common Multiple (LCM) of 8084 and 8088 is 16345848.

LCM(8084,8088) = 16345848

LCM of 8084 and 8088

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

LCM of:
and

Least Common Multiple of 8084 and 8088

LCM of 8084 and 8088 is 16345848

Least common multiple can be found by multiplying the highest exponent prime factors of 8084 and 8088. First we will calculate the prime factors of 8084 and 8088.

Prime Factorization of 8084


2 8084
2 4042
43 2021
47 47
1

Prime factors of 8084 are 2, 43,47. Prime factorization of 8084 in exponential form is:

8084 = 22×431×471

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 8084 and 8088.

LCM(8084,8088) = 23×31×431×471×3371
LCM(8084,8088) = 16345848

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084

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 8084 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 8084 and 8088, than apply into the LCM equation.

GCF(8084,8088) = 4
LCM(8084,8088) = ( 8084 × 8088) / 4
LCM(8084,8088) = 65383392 / 4
LCM(8084,8088) = 16345848

Properties of LCM 8084 and 8088

(i) The LCM of 8088 and 8084 is associative

LCM of 8084 and 8088 = LCM of 8088 and 8084

Related Least Common Multiples of 8084

Related Least Common Multiples of 8088

Frequently Asked Questions on LCM of 8084 and 8088

1. What is the LCM of 8084 and 8088?

Answer: LCM of 8084 and 8088 is 16345848.

2. What are the Factors of 8084?

Answer: Factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084. There are 12 integers that are factors of 8084. The greatest factor of 8084 is 8084.

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 8084 and 8088?

Answer:

Least Common Multiple of 8084 and 8088 = 16345848

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

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 = 16345848 = 2 x 2 x 2 x 3 x 43 x 47 x 337

Step 4: Therefore, the least common multiple of 8084 and 8088 is 16345848.