Least Common Multiple of 2259 and 2265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2259 and 2265 the smallest integer that is 1705545 that is divisible by both numbers.

Least Common Multiple (LCM) of 2259 and 2265 is 1705545.

LCM(2259,2265) = 1705545

LCM of 2259 and 2265

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

LCM of:
and

Least Common Multiple of 2259 and 2265

LCM of 2259 and 2265 is 1705545

Least common multiple can be found by multiplying the highest exponent prime factors of 2259 and 2265. First we will calculate the prime factors of 2259 and 2265.

Prime Factorization of 2259


3 2259
3 753
251 251
1

Prime factors of 2259 are 3,251. Prime factorization of 2259 in exponential form is:

2259 = 32×2511

Prime Factorization of 2265


3 2265
5 755
151 151
1

Prime factors of 2265 are 3, 5,151. Prime factorization of 2265 in exponential form is:

2265 = 31×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 2259 and 2265.

LCM(2259,2265) = 32×51×1511×2511
LCM(2259,2265) = 1705545

Factors of 2259

List of positive integer factors of 2259 that divides 2259 without a remainder.

1, 3, 9, 251, 753, 2259

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1, 3, 5, 15, 151, 453, 755, 2265

Least Common Multiple of 2259 and 2265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2259 and 2265, than apply into the LCM equation.

GCF(2259,2265) = 3
LCM(2259,2265) = ( 2259 × 2265) / 3
LCM(2259,2265) = 5116635 / 3
LCM(2259,2265) = 1705545

Properties of LCM 2259 and 2265

(i) The LCM of 2265 and 2259 is associative

LCM of 2259 and 2265 = LCM of 2265 and 2259

Related Least Common Multiples of 2259

Related Least Common Multiples of 2265

Frequently Asked Questions on LCM of 2259 and 2265

1. What is the LCM of 2259 and 2265?

Answer: LCM of 2259 and 2265 is 1705545.

2. What are the Factors of 2259?

Answer: Factors of 2259 are 1, 3, 9, 251, 753, 2259. There are 6 integers that are factors of 2259. The greatest factor of 2259 is 2259.

3. What are the Factors of 2265?

Answer: Factors of 2265 are 1, 3, 5, 15, 151, 453, 755, 2265. There are 8 integers that are factors of 2265. The greatest factor of 2265 is 2265.

4. How to Find the LCM of 2259 and 2265?

Answer:

Least Common Multiple of 2259 and 2265 = 1705545

Step 1: Find the prime factorization of 2259

2259 = 3 x 3 x 251

Step 2: Find the prime factorization of 2265

2265 = 3 x 5 x 151

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

LCM = 1705545 = 3 x 3 x 5 x 151 x 251

Step 4: Therefore, the least common multiple of 2259 and 2265 is 1705545.