Least Common Multiple of 2106 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 2106 and 2107 the smallest integer that is 4437342 that is divisible by both numbers.

Least Common Multiple (LCM) of 2106 and 2107 is 4437342.

LCM(2106,2107) = 4437342

LCM of 2106 and 2107

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

LCM of:
and

Least Common Multiple of 2106 and 2107

LCM of 2106 and 2107 is 4437342

Least common multiple can be found by multiplying the highest exponent prime factors of 2106 and 2107. First we will calculate the prime factors of 2106 and 2107.

Prime Factorization of 2106


2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 2106 are 2, 3,13. Prime factorization of 2106 in exponential form is:

2106 = 21×34×131

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 2106 and 2107.

LCM(2106,2107) = 21×34×72×131×431
LCM(2106,2107) = 4437342

Factors of 2106

List of positive integer factors of 2106 that divides 2106 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106

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 2106 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 2106 and 2107, than apply into the LCM equation.

GCF(2106,2107) = 1
LCM(2106,2107) = ( 2106 × 2107) / 1
LCM(2106,2107) = 4437342 / 1
LCM(2106,2107) = 4437342

Properties of LCM 2106 and 2107

(i) The LCM of 2107 and 2106 is associative

LCM of 2106 and 2107 = LCM of 2107 and 2106

Related Least Common Multiples of 2106

Related Least Common Multiples of 2107

Frequently Asked Questions on LCM of 2106 and 2107

1. What is the LCM of 2106 and 2107?

Answer: LCM of 2106 and 2107 is 4437342.

2. What are the Factors of 2106?

Answer: Factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106. There are 20 integers that are factors of 2106. The greatest factor of 2106 is 2106.

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 2106 and 2107?

Answer:

Least Common Multiple of 2106 and 2107 = 4437342

Step 1: Find the prime factorization of 2106

2106 = 2 x 3 x 3 x 3 x 3 x 13

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 = 4437342 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 13 x 43

Step 4: Therefore, the least common multiple of 2106 and 2107 is 4437342.