Least Common Multiple of 2109 and 2115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2109 and 2115 the smallest integer that is 1486845 that is divisible by both numbers.

Least Common Multiple (LCM) of 2109 and 2115 is 1486845.

LCM(2109,2115) = 1486845

LCM of 2109 and 2115

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

LCM of:
and

Least Common Multiple of 2109 and 2115

LCM of 2109 and 2115 is 1486845

Least common multiple can be found by multiplying the highest exponent prime factors of 2109 and 2115. First we will calculate the prime factors of 2109 and 2115.

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

Prime Factorization of 2115


3 2115
3 705
5 235
47 47
1

Prime factors of 2115 are 3, 5,47. Prime factorization of 2115 in exponential form is:

2115 = 32×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2109 and 2115.

LCM(2109,2115) = 32×51×191×371×471
LCM(2109,2115) = 1486845

Factors of 2109

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

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

Factors of 2115

List of positive integer factors of 2115 that divides 2115 without a remainder.

1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115

Least Common Multiple of 2109 and 2115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2109 and 2115, than apply into the LCM equation.

GCF(2109,2115) = 3
LCM(2109,2115) = ( 2109 × 2115) / 3
LCM(2109,2115) = 4460535 / 3
LCM(2109,2115) = 1486845

Properties of LCM 2109 and 2115

(i) The LCM of 2115 and 2109 is associative

LCM of 2109 and 2115 = LCM of 2115 and 2109

Related Least Common Multiples of 2109

Related Least Common Multiples of 2115

Frequently Asked Questions on LCM of 2109 and 2115

1. What is the LCM of 2109 and 2115?

Answer: LCM of 2109 and 2115 is 1486845.

2. 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.

3. What are the Factors of 2115?

Answer: Factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115. There are 12 integers that are factors of 2115. The greatest factor of 2115 is 2115.

4. How to Find the LCM of 2109 and 2115?

Answer:

Least Common Multiple of 2109 and 2115 = 1486845

Step 1: Find the prime factorization of 2109

2109 = 3 x 19 x 37

Step 2: Find the prime factorization of 2115

2115 = 3 x 3 x 5 x 47

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

LCM = 1486845 = 3 x 3 x 5 x 19 x 37 x 47

Step 4: Therefore, the least common multiple of 2109 and 2115 is 1486845.