Least Common Multiple of 2107 and 2109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2107 and 2109 the smallest integer that is 4443663 that is divisible by both numbers.

Least Common Multiple (LCM) of 2107 and 2109 is 4443663.

LCM(2107,2109) = 4443663

LCM of 2107 and 2109

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

LCM of:
and

Least Common Multiple of 2107 and 2109

LCM of 2107 and 2109 is 4443663

Least common multiple can be found by multiplying the highest exponent prime factors of 2107 and 2109. First we will calculate the prime factors of 2107 and 2109.

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

Prime Factorization of 2109


3 2109
19 703
37 37
1

Prime factors of 2109 are 3, 19,37. Prime factorization of 2109 in exponential form is:

2109 = 31×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2107 and 2109.

LCM(2107,2109) = 31×72×191×371×431
LCM(2107,2109) = 4443663

Factors of 2107

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

1, 7, 43, 49, 301, 2107

Factors of 2109

List of positive integer factors of 2109 that divides 2109 without a remainder.

1, 3, 19, 37, 57, 111, 703, 2109

Least Common Multiple of 2107 and 2109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2107 and 2109, than apply into the LCM equation.

GCF(2107,2109) = 1
LCM(2107,2109) = ( 2107 × 2109) / 1
LCM(2107,2109) = 4443663 / 1
LCM(2107,2109) = 4443663

Properties of LCM 2107 and 2109

(i) The LCM of 2109 and 2107 is associative

LCM of 2107 and 2109 = LCM of 2109 and 2107

Related Least Common Multiples of 2107

Related Least Common Multiples of 2109

Frequently Asked Questions on LCM of 2107 and 2109

1. What is the LCM of 2107 and 2109?

Answer: LCM of 2107 and 2109 is 4443663.

2. 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.

3. What are the Factors of 2109?

Answer: Factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109. There are 8 integers that are factors of 2109. The greatest factor of 2109 is 2109.

4. How to Find the LCM of 2107 and 2109?

Answer:

Least Common Multiple of 2107 and 2109 = 4443663

Step 1: Find the prime factorization of 2107

2107 = 7 x 7 x 43

Step 2: Find the prime factorization of 2109

2109 = 3 x 19 x 37

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

LCM = 4443663 = 3 x 7 x 7 x 19 x 37 x 43

Step 4: Therefore, the least common multiple of 2107 and 2109 is 4443663.