Least Common Multiple of 7093 and 7099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 7093 and 7099 the smallest integer that is 50353207 that is divisible by both numbers.

Least Common Multiple (LCM) of 7093 and 7099 is 50353207.

LCM(7093,7099) = 50353207

LCM of 7093 and 7099

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

LCM of:
and

Least Common Multiple of 7093 and 7099

LCM of 7093 and 7099 is 50353207

Least common multiple can be found by multiplying the highest exponent prime factors of 7093 and 7099. First we will calculate the prime factors of 7093 and 7099.

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

Prime Factorization of 7099


31 7099
229 229
1

Prime factors of 7099 are 31,229. Prime factorization of 7099 in exponential form is:

7099 = 311×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7093 and 7099.

LCM(7093,7099) = 311×411×1731×2291
LCM(7093,7099) = 50353207

Factors of 7093

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

1, 41, 173, 7093

Factors of 7099

List of positive integer factors of 7099 that divides 7099 without a remainder.

1, 31, 229, 7099

Least Common Multiple of 7093 and 7099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7093 and 7099, than apply into the LCM equation.

GCF(7093,7099) = 1
LCM(7093,7099) = ( 7093 × 7099) / 1
LCM(7093,7099) = 50353207 / 1
LCM(7093,7099) = 50353207

Properties of LCM 7093 and 7099

(i) The LCM of 7099 and 7093 is associative

LCM of 7093 and 7099 = LCM of 7099 and 7093

Frequently Asked Questions on LCM of 7093 and 7099

1. What is the LCM of 7093 and 7099?

Answer: LCM of 7093 and 7099 is 50353207.

2. 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.

3. What are the Factors of 7099?

Answer: Factors of 7099 are 1, 31, 229, 7099. There are 4 integers that are factors of 7099. The greatest factor of 7099 is 7099.

4. How to Find the LCM of 7093 and 7099?

Answer:

Least Common Multiple of 7093 and 7099 = 50353207

Step 1: Find the prime factorization of 7093

7093 = 41 x 173

Step 2: Find the prime factorization of 7099

7099 = 31 x 229

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

LCM = 50353207 = 31 x 41 x 173 x 229

Step 4: Therefore, the least common multiple of 7093 and 7099 is 50353207.