Least Common Multiple of 2243 and 2247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2243 and 2247 the smallest integer that is 5040021 that is divisible by both numbers.

Least Common Multiple (LCM) of 2243 and 2247 is 5040021.

LCM(2243,2247) = 5040021

LCM of 2243 and 2247

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

LCM of:
and

Least Common Multiple of 2243 and 2247

LCM of 2243 and 2247 is 5040021

Least common multiple can be found by multiplying the highest exponent prime factors of 2243 and 2247. First we will calculate the prime factors of 2243 and 2247.

Prime Factorization of 2243


2243 2243
1

Prime factors of 2243 are 2243. Prime factorization of 2243 in exponential form is:

2243 = 22431

Prime Factorization of 2247


3 2247
7 749
107 107
1

Prime factors of 2247 are 3, 7,107. Prime factorization of 2247 in exponential form is:

2247 = 31×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2243 and 2247.

LCM(2243,2247) = 31×71×1071×22431
LCM(2243,2247) = 5040021

Factors of 2243

List of positive integer factors of 2243 that divides 2243 without a remainder.

1, 2243

Factors of 2247

List of positive integer factors of 2247 that divides 2247 without a remainder.

1, 3, 7, 21, 107, 321, 749, 2247

Least Common Multiple of 2243 and 2247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2243 and 2247, than apply into the LCM equation.

GCF(2243,2247) = 1
LCM(2243,2247) = ( 2243 × 2247) / 1
LCM(2243,2247) = 5040021 / 1
LCM(2243,2247) = 5040021

Properties of LCM 2243 and 2247

(i) The LCM of 2247 and 2243 is associative

LCM of 2243 and 2247 = LCM of 2247 and 2243

Related Least Common Multiples of 2243

Related Least Common Multiples of 2247

Frequently Asked Questions on LCM of 2243 and 2247

1. What is the LCM of 2243 and 2247?

Answer: LCM of 2243 and 2247 is 5040021.

2. What are the Factors of 2243?

Answer: Factors of 2243 are 1, 2243. There are 2 integers that are factors of 2243. The greatest factor of 2243 is 2243.

3. What are the Factors of 2247?

Answer: Factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247. There are 8 integers that are factors of 2247. The greatest factor of 2247 is 2247.

4. How to Find the LCM of 2243 and 2247?

Answer:

Least Common Multiple of 2243 and 2247 = 5040021

Step 1: Find the prime factorization of 2243

2243 = 2243

Step 2: Find the prime factorization of 2247

2247 = 3 x 7 x 107

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

LCM = 5040021 = 3 x 7 x 107 x 2243

Step 4: Therefore, the least common multiple of 2243 and 2247 is 5040021.