Least Common Multiple of 2253 and 2258

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 2258 the smallest integer that is 5087274 that is divisible by both numbers.

Least Common Multiple (LCM) of 2253 and 2258 is 5087274.

LCM(2253,2258) = 5087274

LCM of 2253 and 2258

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

LCM of:
and

Least Common Multiple of 2253 and 2258

LCM of 2253 and 2258 is 5087274

Least common multiple can be found by multiplying the highest exponent prime factors of 2253 and 2258. First we will calculate the prime factors of 2253 and 2258.

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 2258


2 2258
1129 1129
1

Prime factors of 2258 are 2,1129. Prime factorization of 2258 in exponential form is:

2258 = 21×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 2253 and 2258.

LCM(2253,2258) = 21×31×7511×11291
LCM(2253,2258) = 5087274

Factors of 2253

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

1, 3, 751, 2253

Factors of 2258

List of positive integer factors of 2258 that divides 2258 without a remainder.

1, 2, 1129, 2258

Least Common Multiple of 2253 and 2258 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 2258, than apply into the LCM equation.

GCF(2253,2258) = 1
LCM(2253,2258) = ( 2253 × 2258) / 1
LCM(2253,2258) = 5087274 / 1
LCM(2253,2258) = 5087274

Properties of LCM 2253 and 2258

(i) The LCM of 2258 and 2253 is associative

LCM of 2253 and 2258 = LCM of 2258 and 2253

Related Least Common Multiples of 2253

Related Least Common Multiples of 2258

Frequently Asked Questions on LCM of 2253 and 2258

1. What is the LCM of 2253 and 2258?

Answer: LCM of 2253 and 2258 is 5087274.

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 2258?

Answer: Factors of 2258 are 1, 2, 1129, 2258. There are 4 integers that are factors of 2258. The greatest factor of 2258 is 2258.

4. How to Find the LCM of 2253 and 2258?

Answer:

Least Common Multiple of 2253 and 2258 = 5087274

Step 1: Find the prime factorization of 2253

2253 = 3 x 751

Step 2: Find the prime factorization of 2258

2258 = 2 x 1129

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

LCM = 5087274 = 2 x 3 x 751 x 1129

Step 4: Therefore, the least common multiple of 2253 and 2258 is 5087274.