Least Common Multiple of 2099 and 2107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2099 and 2107 the smallest integer that is 4422593 that is divisible by both numbers.

Least Common Multiple (LCM) of 2099 and 2107 is 4422593.

LCM(2099,2107) = 4422593

LCM of 2099 and 2107

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

LCM of:
and

Least Common Multiple of 2099 and 2107

LCM of 2099 and 2107 is 4422593

Least common multiple can be found by multiplying the highest exponent prime factors of 2099 and 2107. First we will calculate the prime factors of 2099 and 2107.

Prime Factorization of 2099


2099 2099
1

Prime factors of 2099 are 2099. Prime factorization of 2099 in exponential form is:

2099 = 20991

Prime Factorization of 2107


7 2107
7 301
43 43
1

Prime factors of 2107 are 7,43. Prime factorization of 2107 in exponential form is:

2107 = 72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2099 and 2107.

LCM(2099,2107) = 72×431×20991
LCM(2099,2107) = 4422593

Factors of 2099

List of positive integer factors of 2099 that divides 2099 without a remainder.

1, 2099

Factors of 2107

List of positive integer factors of 2107 that divides 2107 without a remainder.

1, 7, 43, 49, 301, 2107

Least Common Multiple of 2099 and 2107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2099 and 2107, than apply into the LCM equation.

GCF(2099,2107) = 1
LCM(2099,2107) = ( 2099 × 2107) / 1
LCM(2099,2107) = 4422593 / 1
LCM(2099,2107) = 4422593

Properties of LCM 2099 and 2107

(i) The LCM of 2107 and 2099 is associative

LCM of 2099 and 2107 = LCM of 2107 and 2099

Related Least Common Multiples of 2099

Related Least Common Multiples of 2107

Frequently Asked Questions on LCM of 2099 and 2107

1. What is the LCM of 2099 and 2107?

Answer: LCM of 2099 and 2107 is 4422593.

2. What are the Factors of 2099?

Answer: Factors of 2099 are 1, 2099. There are 2 integers that are factors of 2099. The greatest factor of 2099 is 2099.

3. What are the Factors of 2107?

Answer: Factors of 2107 are 1, 7, 43, 49, 301, 2107. There are 6 integers that are factors of 2107. The greatest factor of 2107 is 2107.

4. How to Find the LCM of 2099 and 2107?

Answer:

Least Common Multiple of 2099 and 2107 = 4422593

Step 1: Find the prime factorization of 2099

2099 = 2099

Step 2: Find the prime factorization of 2107

2107 = 7 x 7 x 43

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

LCM = 4422593 = 7 x 7 x 43 x 2099

Step 4: Therefore, the least common multiple of 2099 and 2107 is 4422593.