Least Common Multiple of 2252 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 2252 and 2259 the smallest integer that is 5087268 that is divisible by both numbers.

Least Common Multiple (LCM) of 2252 and 2259 is 5087268.

LCM(2252,2259) = 5087268

LCM of 2252 and 2259

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

LCM of:
and

Least Common Multiple of 2252 and 2259

LCM of 2252 and 2259 is 5087268

Least common multiple can be found by multiplying the highest exponent prime factors of 2252 and 2259. First we will calculate the prime factors of 2252 and 2259.

Prime Factorization of 2252


2 2252
2 1126
563 563
1

Prime factors of 2252 are 2,563. Prime factorization of 2252 in exponential form is:

2252 = 22×5631

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 2252 and 2259.

LCM(2252,2259) = 22×32×2511×5631
LCM(2252,2259) = 5087268

Factors of 2252

List of positive integer factors of 2252 that divides 2252 without a remainder.

1, 2, 4, 563, 1126, 2252

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 2252 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 2252 and 2259, than apply into the LCM equation.

GCF(2252,2259) = 1
LCM(2252,2259) = ( 2252 × 2259) / 1
LCM(2252,2259) = 5087268 / 1
LCM(2252,2259) = 5087268

Properties of LCM 2252 and 2259

(i) The LCM of 2259 and 2252 is associative

LCM of 2252 and 2259 = LCM of 2259 and 2252

Related Least Common Multiples of 2252

Related Least Common Multiples of 2259

Frequently Asked Questions on LCM of 2252 and 2259

1. What is the LCM of 2252 and 2259?

Answer: LCM of 2252 and 2259 is 5087268.

2. What are the Factors of 2252?

Answer: Factors of 2252 are 1, 2, 4, 563, 1126, 2252. There are 6 integers that are factors of 2252. The greatest factor of 2252 is 2252.

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 2252 and 2259?

Answer:

Least Common Multiple of 2252 and 2259 = 5087268

Step 1: Find the prime factorization of 2252

2252 = 2 x 2 x 563

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 = 5087268 = 2 x 2 x 3 x 3 x 251 x 563

Step 4: Therefore, the least common multiple of 2252 and 2259 is 5087268.