Least Common Multiple of 2253 and 2254

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 2254 the smallest integer that is 5078262 that is divisible by both numbers.

Least Common Multiple (LCM) of 2253 and 2254 is 5078262.

LCM(2253,2254) = 5078262

LCM of 2253 and 2254

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

LCM of:
and

Least Common Multiple of 2253 and 2254

LCM of 2253 and 2254 is 5078262

Least common multiple can be found by multiplying the highest exponent prime factors of 2253 and 2254. First we will calculate the prime factors of 2253 and 2254.

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 2254


2 2254
7 1127
7 161
23 23
1

Prime factors of 2254 are 2, 7,23. Prime factorization of 2254 in exponential form is:

2254 = 21×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2253 and 2254.

LCM(2253,2254) = 21×31×72×231×7511
LCM(2253,2254) = 5078262

Factors of 2253

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

1, 3, 751, 2253

Factors of 2254

List of positive integer factors of 2254 that divides 2254 without a remainder.

1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254

Least Common Multiple of 2253 and 2254 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 2254, than apply into the LCM equation.

GCF(2253,2254) = 1
LCM(2253,2254) = ( 2253 × 2254) / 1
LCM(2253,2254) = 5078262 / 1
LCM(2253,2254) = 5078262

Properties of LCM 2253 and 2254

(i) The LCM of 2254 and 2253 is associative

LCM of 2253 and 2254 = LCM of 2254 and 2253

Related Least Common Multiples of 2253

Related Least Common Multiples of 2254

Frequently Asked Questions on LCM of 2253 and 2254

1. What is the LCM of 2253 and 2254?

Answer: LCM of 2253 and 2254 is 5078262.

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 2254?

Answer: Factors of 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254. There are 12 integers that are factors of 2254. The greatest factor of 2254 is 2254.

4. How to Find the LCM of 2253 and 2254?

Answer:

Least Common Multiple of 2253 and 2254 = 5078262

Step 1: Find the prime factorization of 2253

2253 = 3 x 751

Step 2: Find the prime factorization of 2254

2254 = 2 x 7 x 7 x 23

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

LCM = 5078262 = 2 x 3 x 7 x 7 x 23 x 751

Step 4: Therefore, the least common multiple of 2253 and 2254 is 5078262.