Least Common Multiple of 2102 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 2102 and 2109 the smallest integer that is 4433118 that is divisible by both numbers.

Least Common Multiple (LCM) of 2102 and 2109 is 4433118.

LCM(2102,2109) = 4433118

LCM of 2102 and 2109

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

LCM of:
and

Least Common Multiple of 2102 and 2109

LCM of 2102 and 2109 is 4433118

Least common multiple can be found by multiplying the highest exponent prime factors of 2102 and 2109. First we will calculate the prime factors of 2102 and 2109.

Prime Factorization of 2102


2 2102
1051 1051
1

Prime factors of 2102 are 2,1051. Prime factorization of 2102 in exponential form is:

2102 = 21×10511

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 2102 and 2109.

LCM(2102,2109) = 21×31×191×371×10511
LCM(2102,2109) = 4433118

Factors of 2102

List of positive integer factors of 2102 that divides 2102 without a remainder.

1, 2, 1051, 2102

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 2102 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 2102 and 2109, than apply into the LCM equation.

GCF(2102,2109) = 1
LCM(2102,2109) = ( 2102 × 2109) / 1
LCM(2102,2109) = 4433118 / 1
LCM(2102,2109) = 4433118

Properties of LCM 2102 and 2109

(i) The LCM of 2109 and 2102 is associative

LCM of 2102 and 2109 = LCM of 2109 and 2102

Related Least Common Multiples of 2102

Related Least Common Multiples of 2109

Frequently Asked Questions on LCM of 2102 and 2109

1. What is the LCM of 2102 and 2109?

Answer: LCM of 2102 and 2109 is 4433118.

2. What are the Factors of 2102?

Answer: Factors of 2102 are 1, 2, 1051, 2102. There are 4 integers that are factors of 2102. The greatest factor of 2102 is 2102.

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 2102 and 2109?

Answer:

Least Common Multiple of 2102 and 2109 = 4433118

Step 1: Find the prime factorization of 2102

2102 = 2 x 1051

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 = 4433118 = 2 x 3 x 19 x 37 x 1051

Step 4: Therefore, the least common multiple of 2102 and 2109 is 4433118.