Least Common Multiple of 2253 and 2259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2253 and 2259 the smallest integer that is 1696509 that is divisible by both numbers.

Least Common Multiple (LCM) of 2253 and 2259 is 1696509.

LCM(2253,2259) = 1696509

LCM of 2253 and 2259

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

LCM of:
and

Least Common Multiple of 2253 and 2259

LCM of 2253 and 2259 is 1696509

Least common multiple can be found by multiplying the highest exponent prime factors of 2253 and 2259. First we will calculate the prime factors of 2253 and 2259.

Prime Factorization of 2253


3 2253
751 751
1

Prime factors of 2253 are 3,751. Prime factorization of 2253 in exponential form is:

2253 = 31×7511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2253 and 2259.

LCM(2253,2259) = 32×2511×7511
LCM(2253,2259) = 1696509

Factors of 2253

List of positive integer factors of 2253 that divides 2253 without a remainder.

1, 3, 751, 2253

Factors of 2259

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

1, 3, 9, 251, 753, 2259

Least Common Multiple of 2253 and 2259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2253 and 2259, than apply into the LCM equation.

GCF(2253,2259) = 3
LCM(2253,2259) = ( 2253 × 2259) / 3
LCM(2253,2259) = 5089527 / 3
LCM(2253,2259) = 1696509

Properties of LCM 2253 and 2259

(i) The LCM of 2259 and 2253 is associative

LCM of 2253 and 2259 = LCM of 2259 and 2253

Related Least Common Multiples of 2253

Related Least Common Multiples of 2259

Frequently Asked Questions on LCM of 2253 and 2259

1. What is the LCM of 2253 and 2259?

Answer: LCM of 2253 and 2259 is 1696509.

2. What are the Factors of 2253?

Answer: Factors of 2253 are 1, 3, 751, 2253. There are 4 integers that are factors of 2253. The greatest factor of 2253 is 2253.

3. 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.

4. How to Find the LCM of 2253 and 2259?

Answer:

Least Common Multiple of 2253 and 2259 = 1696509

Step 1: Find the prime factorization of 2253

2253 = 3 x 751

Step 2: Find the prime factorization of 2259

2259 = 3 x 3 x 251

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

LCM = 1696509 = 3 x 3 x 251 x 751

Step 4: Therefore, the least common multiple of 2253 and 2259 is 1696509.