Least Common Multiple of 2145 and 2150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2145 and 2150 the smallest integer that is 922350 that is divisible by both numbers.

Least Common Multiple (LCM) of 2145 and 2150 is 922350.

LCM(2145,2150) = 922350

LCM of 2145 and 2150

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

LCM of:
and

Least Common Multiple of 2145 and 2150

LCM of 2145 and 2150 is 922350

Least common multiple can be found by multiplying the highest exponent prime factors of 2145 and 2150. First we will calculate the prime factors of 2145 and 2150.

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

Prime Factorization of 2150


2 2150
5 1075
5 215
43 43
1

Prime factors of 2150 are 2, 5,43. Prime factorization of 2150 in exponential form is:

2150 = 21×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2145 and 2150.

LCM(2145,2150) = 21×31×52×111×131×431
LCM(2145,2150) = 922350

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

Factors of 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150

Least Common Multiple of 2145 and 2150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2145 and 2150, than apply into the LCM equation.

GCF(2145,2150) = 5
LCM(2145,2150) = ( 2145 × 2150) / 5
LCM(2145,2150) = 4611750 / 5
LCM(2145,2150) = 922350

Properties of LCM 2145 and 2150

(i) The LCM of 2150 and 2145 is associative

LCM of 2145 and 2150 = LCM of 2150 and 2145

Related Least Common Multiples of 2145

Related Least Common Multiples of 2150

Frequently Asked Questions on LCM of 2145 and 2150

1. What is the LCM of 2145 and 2150?

Answer: LCM of 2145 and 2150 is 922350.

2. 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.

3. What are the Factors of 2150?

Answer: Factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150. There are 12 integers that are factors of 2150. The greatest factor of 2150 is 2150.

4. How to Find the LCM of 2145 and 2150?

Answer:

Least Common Multiple of 2145 and 2150 = 922350

Step 1: Find the prime factorization of 2145

2145 = 3 x 5 x 11 x 13

Step 2: Find the prime factorization of 2150

2150 = 2 x 5 x 5 x 43

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

LCM = 922350 = 2 x 3 x 5 x 5 x 11 x 13 x 43

Step 4: Therefore, the least common multiple of 2145 and 2150 is 922350.