Least Common Multiple of 2105 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 2105 and 2109 the smallest integer that is 4439445 that is divisible by both numbers.

Least Common Multiple (LCM) of 2105 and 2109 is 4439445.

LCM(2105,2109) = 4439445

LCM of 2105 and 2109

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

LCM of:
and

Least Common Multiple of 2105 and 2109

LCM of 2105 and 2109 is 4439445

Least common multiple can be found by multiplying the highest exponent prime factors of 2105 and 2109. First we will calculate the prime factors of 2105 and 2109.

Prime Factorization of 2105


5 2105
421 421
1

Prime factors of 2105 are 5,421. Prime factorization of 2105 in exponential form is:

2105 = 51×4211

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 2105 and 2109.

LCM(2105,2109) = 31×51×191×371×4211
LCM(2105,2109) = 4439445

Factors of 2105

List of positive integer factors of 2105 that divides 2105 without a remainder.

1, 5, 421, 2105

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 2105 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 2105 and 2109, than apply into the LCM equation.

GCF(2105,2109) = 1
LCM(2105,2109) = ( 2105 × 2109) / 1
LCM(2105,2109) = 4439445 / 1
LCM(2105,2109) = 4439445

Properties of LCM 2105 and 2109

(i) The LCM of 2109 and 2105 is associative

LCM of 2105 and 2109 = LCM of 2109 and 2105

Related Least Common Multiples of 2105

Related Least Common Multiples of 2109

Frequently Asked Questions on LCM of 2105 and 2109

1. What is the LCM of 2105 and 2109?

Answer: LCM of 2105 and 2109 is 4439445.

2. What are the Factors of 2105?

Answer: Factors of 2105 are 1, 5, 421, 2105. There are 4 integers that are factors of 2105. The greatest factor of 2105 is 2105.

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 2105 and 2109?

Answer:

Least Common Multiple of 2105 and 2109 = 4439445

Step 1: Find the prime factorization of 2105

2105 = 5 x 421

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 = 4439445 = 3 x 5 x 19 x 37 x 421

Step 4: Therefore, the least common multiple of 2105 and 2109 is 4439445.