Least Common Multiple of 2139 and 2145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2139 and 2145 the smallest integer that is 1529385 that is divisible by both numbers.

Least Common Multiple (LCM) of 2139 and 2145 is 1529385.

LCM(2139,2145) = 1529385

LCM of 2139 and 2145

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

LCM of:
and

Least Common Multiple of 2139 and 2145

LCM of 2139 and 2145 is 1529385

Least common multiple can be found by multiplying the highest exponent prime factors of 2139 and 2145. First we will calculate the prime factors of 2139 and 2145.

Prime Factorization of 2139


3 2139
23 713
31 31
1

Prime factors of 2139 are 3, 23,31. Prime factorization of 2139 in exponential form is:

2139 = 31×231×311

Prime Factorization of 2145


3 2145
5 715
11 143
13 13
1

Prime factors of 2145 are 3, 5, 11,13. Prime factorization of 2145 in exponential form is:

2145 = 31×51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2139 and 2145.

LCM(2139,2145) = 31×51×111×131×231×311
LCM(2139,2145) = 1529385

Factors of 2139

List of positive integer factors of 2139 that divides 2139 without a remainder.

1, 3, 23, 31, 69, 93, 713, 2139

Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

Least Common Multiple of 2139 and 2145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2139 and 2145, than apply into the LCM equation.

GCF(2139,2145) = 3
LCM(2139,2145) = ( 2139 × 2145) / 3
LCM(2139,2145) = 4588155 / 3
LCM(2139,2145) = 1529385

Properties of LCM 2139 and 2145

(i) The LCM of 2145 and 2139 is associative

LCM of 2139 and 2145 = LCM of 2145 and 2139

Related Least Common Multiples of 2139

Related Least Common Multiples of 2145

Frequently Asked Questions on LCM of 2139 and 2145

1. What is the LCM of 2139 and 2145?

Answer: LCM of 2139 and 2145 is 1529385.

2. What are the Factors of 2139?

Answer: Factors of 2139 are 1, 3, 23, 31, 69, 93, 713, 2139. There are 8 integers that are factors of 2139. The greatest factor of 2139 is 2139.

3. What are the Factors of 2145?

Answer: Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145. There are 16 integers that are factors of 2145. The greatest factor of 2145 is 2145.

4. How to Find the LCM of 2139 and 2145?

Answer:

Least Common Multiple of 2139 and 2145 = 1529385

Step 1: Find the prime factorization of 2139

2139 = 3 x 23 x 31

Step 2: Find the prime factorization of 2145

2145 = 3 x 5 x 11 x 13

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

LCM = 1529385 = 3 x 5 x 11 x 13 x 23 x 31

Step 4: Therefore, the least common multiple of 2139 and 2145 is 1529385.