Least Common Multiple of 7099 and 7105

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 7105 the smallest integer that is 50438395 that is divisible by both numbers.

Least Common Multiple (LCM) of 7099 and 7105 is 50438395.

LCM(7099,7105) = 50438395

LCM of 7099 and 7105

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

LCM of:
and

Least Common Multiple of 7099 and 7105

LCM of 7099 and 7105 is 50438395

Least common multiple can be found by multiplying the highest exponent prime factors of 7099 and 7105. First we will calculate the prime factors of 7099 and 7105.

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 7105


5 7105
7 1421
7 203
29 29
1

Prime factors of 7105 are 5, 7,29. Prime factorization of 7105 in exponential form is:

7105 = 51×72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7099 and 7105.

LCM(7099,7105) = 51×72×291×311×2291
LCM(7099,7105) = 50438395

Factors of 7099

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

1, 31, 229, 7099

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105

Least Common Multiple of 7099 and 7105 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 7105, than apply into the LCM equation.

GCF(7099,7105) = 1
LCM(7099,7105) = ( 7099 × 7105) / 1
LCM(7099,7105) = 50438395 / 1
LCM(7099,7105) = 50438395

Properties of LCM 7099 and 7105

(i) The LCM of 7105 and 7099 is associative

LCM of 7099 and 7105 = LCM of 7105 and 7099

Related Least Common Multiples of 7099

Related Least Common Multiples of 7105

Frequently Asked Questions on LCM of 7099 and 7105

1. What is the LCM of 7099 and 7105?

Answer: LCM of 7099 and 7105 is 50438395.

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 7105?

Answer: Factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105. There are 12 integers that are factors of 7105. The greatest factor of 7105 is 7105.

4. How to Find the LCM of 7099 and 7105?

Answer:

Least Common Multiple of 7099 and 7105 = 50438395

Step 1: Find the prime factorization of 7099

7099 = 31 x 229

Step 2: Find the prime factorization of 7105

7105 = 5 x 7 x 7 x 29

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

LCM = 50438395 = 5 x 7 x 7 x 29 x 31 x 229

Step 4: Therefore, the least common multiple of 7099 and 7105 is 50438395.