Least Common Multiple of 2140 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 2140 and 2145 the smallest integer that is 918060 that is divisible by both numbers.

Least Common Multiple (LCM) of 2140 and 2145 is 918060.

LCM(2140,2145) = 918060

LCM of 2140 and 2145

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

LCM of:
and

Least Common Multiple of 2140 and 2145

LCM of 2140 and 2145 is 918060

Least common multiple can be found by multiplying the highest exponent prime factors of 2140 and 2145. First we will calculate the prime factors of 2140 and 2145.

Prime Factorization of 2140


2 2140
2 1070
5 535
107 107
1

Prime factors of 2140 are 2, 5,107. Prime factorization of 2140 in exponential form is:

2140 = 22×51×1071

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 2140 and 2145.

LCM(2140,2145) = 22×31×51×111×131×1071
LCM(2140,2145) = 918060

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140

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 2140 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 2140 and 2145, than apply into the LCM equation.

GCF(2140,2145) = 5
LCM(2140,2145) = ( 2140 × 2145) / 5
LCM(2140,2145) = 4590300 / 5
LCM(2140,2145) = 918060

Properties of LCM 2140 and 2145

(i) The LCM of 2145 and 2140 is associative

LCM of 2140 and 2145 = LCM of 2145 and 2140

Related Least Common Multiples of 2140

Related Least Common Multiples of 2145

Frequently Asked Questions on LCM of 2140 and 2145

1. What is the LCM of 2140 and 2145?

Answer: LCM of 2140 and 2145 is 918060.

2. What are the Factors of 2140?

Answer: Factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140. There are 12 integers that are factors of 2140. The greatest factor of 2140 is 2140.

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 2140 and 2145?

Answer:

Least Common Multiple of 2140 and 2145 = 918060

Step 1: Find the prime factorization of 2140

2140 = 2 x 2 x 5 x 107

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 = 918060 = 2 x 2 x 3 x 5 x 11 x 13 x 107

Step 4: Therefore, the least common multiple of 2140 and 2145 is 918060.