Least Common Multiple of 2138 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 2138 and 2145 the smallest integer that is 4586010 that is divisible by both numbers.

Least Common Multiple (LCM) of 2138 and 2145 is 4586010.

LCM(2138,2145) = 4586010

LCM of 2138 and 2145

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

LCM of:
and

Least Common Multiple of 2138 and 2145

LCM of 2138 and 2145 is 4586010

Least common multiple can be found by multiplying the highest exponent prime factors of 2138 and 2145. First we will calculate the prime factors of 2138 and 2145.

Prime Factorization of 2138


2 2138
1069 1069
1

Prime factors of 2138 are 2,1069. Prime factorization of 2138 in exponential form is:

2138 = 21×10691

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 2138 and 2145.

LCM(2138,2145) = 21×31×51×111×131×10691
LCM(2138,2145) = 4586010

Factors of 2138

List of positive integer factors of 2138 that divides 2138 without a remainder.

1, 2, 1069, 2138

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 2138 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 2138 and 2145, than apply into the LCM equation.

GCF(2138,2145) = 1
LCM(2138,2145) = ( 2138 × 2145) / 1
LCM(2138,2145) = 4586010 / 1
LCM(2138,2145) = 4586010

Properties of LCM 2138 and 2145

(i) The LCM of 2145 and 2138 is associative

LCM of 2138 and 2145 = LCM of 2145 and 2138

Related Least Common Multiples of 2138

Related Least Common Multiples of 2145

Frequently Asked Questions on LCM of 2138 and 2145

1. What is the LCM of 2138 and 2145?

Answer: LCM of 2138 and 2145 is 4586010.

2. What are the Factors of 2138?

Answer: Factors of 2138 are 1, 2, 1069, 2138. There are 4 integers that are factors of 2138. The greatest factor of 2138 is 2138.

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 2138 and 2145?

Answer:

Least Common Multiple of 2138 and 2145 = 4586010

Step 1: Find the prime factorization of 2138

2138 = 2 x 1069

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 = 4586010 = 2 x 3 x 5 x 11 x 13 x 1069

Step 4: Therefore, the least common multiple of 2138 and 2145 is 4586010.