Least Common Multiple of 7088 and 7093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7088 and 7093 the smallest integer that is 50275184 that is divisible by both numbers.

Least Common Multiple (LCM) of 7088 and 7093 is 50275184.

LCM(7088,7093) = 50275184

LCM of 7088 and 7093

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

LCM of:
and

Least Common Multiple of 7088 and 7093

LCM of 7088 and 7093 is 50275184

Least common multiple can be found by multiplying the highest exponent prime factors of 7088 and 7093. First we will calculate the prime factors of 7088 and 7093.

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

Prime Factorization of 7093


41 7093
173 173
1

Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:

7093 = 411×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7088 and 7093.

LCM(7088,7093) = 24×411×1731×4431
LCM(7088,7093) = 50275184

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

Factors of 7093

List of positive integer factors of 7093 that divides 7093 without a remainder.

1, 41, 173, 7093

Least Common Multiple of 7088 and 7093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7088 and 7093, than apply into the LCM equation.

GCF(7088,7093) = 1
LCM(7088,7093) = ( 7088 × 7093) / 1
LCM(7088,7093) = 50275184 / 1
LCM(7088,7093) = 50275184

Properties of LCM 7088 and 7093

(i) The LCM of 7093 and 7088 is associative

LCM of 7088 and 7093 = LCM of 7093 and 7088

Related Least Common Multiples of 7088

Related Least Common Multiples of 7093

Frequently Asked Questions on LCM of 7088 and 7093

1. What is the LCM of 7088 and 7093?

Answer: LCM of 7088 and 7093 is 50275184.

2. 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.

3. What are the Factors of 7093?

Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.

4. How to Find the LCM of 7088 and 7093?

Answer:

Least Common Multiple of 7088 and 7093 = 50275184

Step 1: Find the prime factorization of 7088

7088 = 2 x 2 x 2 x 2 x 443

Step 2: Find the prime factorization of 7093

7093 = 41 x 173

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

LCM = 50275184 = 2 x 2 x 2 x 2 x 41 x 173 x 443

Step 4: Therefore, the least common multiple of 7088 and 7093 is 50275184.