Least Common Multiple of 2251 and 2253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2251 and 2253 the smallest integer that is 5071503 that is divisible by both numbers.

Least Common Multiple (LCM) of 2251 and 2253 is 5071503.

LCM(2251,2253) = 5071503

LCM of 2251 and 2253

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

LCM of:
and

Least Common Multiple of 2251 and 2253

LCM of 2251 and 2253 is 5071503

Least common multiple can be found by multiplying the highest exponent prime factors of 2251 and 2253. First we will calculate the prime factors of 2251 and 2253.

Prime Factorization of 2251


2251 2251
1

Prime factors of 2251 are 2251. Prime factorization of 2251 in exponential form is:

2251 = 22511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2251 and 2253.

LCM(2251,2253) = 31×7511×22511
LCM(2251,2253) = 5071503

Factors of 2251

List of positive integer factors of 2251 that divides 2251 without a remainder.

1, 2251

Factors of 2253

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

1, 3, 751, 2253

Least Common Multiple of 2251 and 2253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2251 and 2253, than apply into the LCM equation.

GCF(2251,2253) = 1
LCM(2251,2253) = ( 2251 × 2253) / 1
LCM(2251,2253) = 5071503 / 1
LCM(2251,2253) = 5071503

Properties of LCM 2251 and 2253

(i) The LCM of 2253 and 2251 is associative

LCM of 2251 and 2253 = LCM of 2253 and 2251

Related Least Common Multiples of 2251

Related Least Common Multiples of 2253

Frequently Asked Questions on LCM of 2251 and 2253

1. What is the LCM of 2251 and 2253?

Answer: LCM of 2251 and 2253 is 5071503.

2. What are the Factors of 2251?

Answer: Factors of 2251 are 1, 2251. There are 2 integers that are factors of 2251. The greatest factor of 2251 is 2251.

3. 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.

4. How to Find the LCM of 2251 and 2253?

Answer:

Least Common Multiple of 2251 and 2253 = 5071503

Step 1: Find the prime factorization of 2251

2251 = 2251

Step 2: Find the prime factorization of 2253

2253 = 3 x 751

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

LCM = 5071503 = 3 x 751 x 2251

Step 4: Therefore, the least common multiple of 2251 and 2253 is 5071503.