Least Common Multiple of 7099 and 7103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7099 and 7103 the smallest integer that is 50424197 that is divisible by both numbers.

Least Common Multiple (LCM) of 7099 and 7103 is 50424197.

LCM(7099,7103) = 50424197

LCM of 7099 and 7103

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

LCM of:
and

Least Common Multiple of 7099 and 7103

LCM of 7099 and 7103 is 50424197

Least common multiple can be found by multiplying the highest exponent prime factors of 7099 and 7103. First we will calculate the prime factors of 7099 and 7103.

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

Prime Factorization of 7103


7103 7103
1

Prime factors of 7103 are 7103. Prime factorization of 7103 in exponential form is:

7103 = 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 7099 and 7103.

LCM(7099,7103) = 311×2291×71031
LCM(7099,7103) = 50424197

Factors of 7099

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

1, 31, 229, 7099

Factors of 7103

List of positive integer factors of 7103 that divides 7103 without a remainder.

1, 7103

Least Common Multiple of 7099 and 7103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7099 and 7103, than apply into the LCM equation.

GCF(7099,7103) = 1
LCM(7099,7103) = ( 7099 × 7103) / 1
LCM(7099,7103) = 50424197 / 1
LCM(7099,7103) = 50424197

Properties of LCM 7099 and 7103

(i) The LCM of 7103 and 7099 is associative

LCM of 7099 and 7103 = LCM of 7103 and 7099

Related Least Common Multiples of 7099

Related Least Common Multiples of 7103

Frequently Asked Questions on LCM of 7099 and 7103

1. What is the LCM of 7099 and 7103?

Answer: LCM of 7099 and 7103 is 50424197.

2. 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.

3. What are the Factors of 7103?

Answer: Factors of 7103 are 1, 7103. There are 2 integers that are factors of 7103. The greatest factor of 7103 is 7103.

4. How to Find the LCM of 7099 and 7103?

Answer:

Least Common Multiple of 7099 and 7103 = 50424197

Step 1: Find the prime factorization of 7099

7099 = 31 x 229

Step 2: Find the prime factorization of 7103

7103 = 7103

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

LCM = 50424197 = 31 x 229 x 7103

Step 4: Therefore, the least common multiple of 7099 and 7103 is 50424197.