Least Common Multiple of 7082 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 7082 and 7088 the smallest integer that is 25098608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7082 and 7088 is 25098608.

LCM(7082,7088) = 25098608

LCM of 7082 and 7088

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

LCM of:
and

Least Common Multiple of 7082 and 7088

LCM of 7082 and 7088 is 25098608

Least common multiple can be found by multiplying the highest exponent prime factors of 7082 and 7088. First we will calculate the prime factors of 7082 and 7088.

Prime Factorization of 7082


2 7082
3541 3541
1

Prime factors of 7082 are 2,3541. Prime factorization of 7082 in exponential form is:

7082 = 21×35411

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 7082 and 7088.

LCM(7082,7088) = 24×4431×35411
LCM(7082,7088) = 25098608

Factors of 7082

List of positive integer factors of 7082 that divides 7082 without a remainder.

1, 2, 3541, 7082

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 7082 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 7082 and 7088, than apply into the LCM equation.

GCF(7082,7088) = 2
LCM(7082,7088) = ( 7082 × 7088) / 2
LCM(7082,7088) = 50197216 / 2
LCM(7082,7088) = 25098608

Properties of LCM 7082 and 7088

(i) The LCM of 7088 and 7082 is associative

LCM of 7082 and 7088 = LCM of 7088 and 7082

Related Least Common Multiples of 7082

Related Least Common Multiples of 7088

Frequently Asked Questions on LCM of 7082 and 7088

1. What is the LCM of 7082 and 7088?

Answer: LCM of 7082 and 7088 is 25098608.

2. What are the Factors of 7082?

Answer: Factors of 7082 are 1, 2, 3541, 7082. There are 4 integers that are factors of 7082. The greatest factor of 7082 is 7082.

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 7082 and 7088?

Answer:

Least Common Multiple of 7082 and 7088 = 25098608

Step 1: Find the prime factorization of 7082

7082 = 2 x 3541

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 = 25098608 = 2 x 2 x 2 x 2 x 443 x 3541

Step 4: Therefore, the least common multiple of 7082 and 7088 is 25098608.