Least Common Multiple of 7084 and 7088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7084 and 7088 the smallest integer that is 12552848 that is divisible by both numbers.

Least Common Multiple (LCM) of 7084 and 7088 is 12552848.

LCM(7084,7088) = 12552848

LCM of 7084 and 7088

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

LCM of:
and

Least Common Multiple of 7084 and 7088

LCM of 7084 and 7088 is 12552848

Least common multiple can be found by multiplying the highest exponent prime factors of 7084 and 7088. First we will calculate the prime factors of 7084 and 7088.

Prime Factorization of 7084


2 7084
2 3542
7 1771
11 253
23 23
1

Prime factors of 7084 are 2, 7, 11,23. Prime factorization of 7084 in exponential form is:

7084 = 22×71×111×231

Prime Factorization of 7088


2 7088
2 3544
2 1772
2 886
443 443
1

Prime factors of 7088 are 2,443. Prime factorization of 7088 in exponential form is:

7088 = 24×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 7084 and 7088.

LCM(7084,7088) = 24×71×111×231×4431
LCM(7084,7088) = 12552848

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084

Factors of 7088

List of positive integer factors of 7088 that divides 7088 without a remainder.

1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088

Least Common Multiple of 7084 and 7088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7084 and 7088, than apply into the LCM equation.

GCF(7084,7088) = 4
LCM(7084,7088) = ( 7084 × 7088) / 4
LCM(7084,7088) = 50211392 / 4
LCM(7084,7088) = 12552848

Properties of LCM 7084 and 7088

(i) The LCM of 7088 and 7084 is associative

LCM of 7084 and 7088 = LCM of 7088 and 7084

Related Least Common Multiples of 7084

Related Least Common Multiples of 7088

Frequently Asked Questions on LCM of 7084 and 7088

1. What is the LCM of 7084 and 7088?

Answer: LCM of 7084 and 7088 is 12552848.

2. What are the Factors of 7084?

Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.

3. What are the Factors of 7088?

Answer: Factors of 7088 are 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088. There are 10 integers that are factors of 7088. The greatest factor of 7088 is 7088.

4. How to Find the LCM of 7084 and 7088?

Answer:

Least Common Multiple of 7084 and 7088 = 12552848

Step 1: Find the prime factorization of 7084

7084 = 2 x 2 x 7 x 11 x 23

Step 2: Find the prime factorization of 7088

7088 = 2 x 2 x 2 x 2 x 443

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

LCM = 12552848 = 2 x 2 x 2 x 2 x 7 x 11 x 23 x 443

Step 4: Therefore, the least common multiple of 7084 and 7088 is 12552848.