Least Common Multiple of 7095 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 7095 and 7099 the smallest integer that is 50367405 that is divisible by both numbers.

Least Common Multiple (LCM) of 7095 and 7099 is 50367405.

LCM(7095,7099) = 50367405

LCM of 7095 and 7099

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

LCM of:
and

Least Common Multiple of 7095 and 7099

LCM of 7095 and 7099 is 50367405

Least common multiple can be found by multiplying the highest exponent prime factors of 7095 and 7099. First we will calculate the prime factors of 7095 and 7099.

Prime Factorization of 7095


3 7095
5 2365
11 473
43 43
1

Prime factors of 7095 are 3, 5, 11,43. Prime factorization of 7095 in exponential form is:

7095 = 31×51×111×431

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 7095 and 7099.

LCM(7095,7099) = 31×51×111×311×431×2291
LCM(7095,7099) = 50367405

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095

Factors of 7099

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

1, 31, 229, 7099

Least Common Multiple of 7095 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 7095 and 7099, than apply into the LCM equation.

GCF(7095,7099) = 1
LCM(7095,7099) = ( 7095 × 7099) / 1
LCM(7095,7099) = 50367405 / 1
LCM(7095,7099) = 50367405

Properties of LCM 7095 and 7099

(i) The LCM of 7099 and 7095 is associative

LCM of 7095 and 7099 = LCM of 7099 and 7095

Related Least Common Multiples of 7095

Related Least Common Multiples of 7099

Frequently Asked Questions on LCM of 7095 and 7099

1. What is the LCM of 7095 and 7099?

Answer: LCM of 7095 and 7099 is 50367405.

2. What are the Factors of 7095?

Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.

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 7095 and 7099?

Answer:

Least Common Multiple of 7095 and 7099 = 50367405

Step 1: Find the prime factorization of 7095

7095 = 3 x 5 x 11 x 43

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 = 50367405 = 3 x 5 x 11 x 31 x 43 x 229

Step 4: Therefore, the least common multiple of 7095 and 7099 is 50367405.