Least Common Multiple of 2239 and 2243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2239 and 2243 the smallest integer that is 5022077 that is divisible by both numbers.

Least Common Multiple (LCM) of 2239 and 2243 is 5022077.

LCM(2239,2243) = 5022077

LCM of 2239 and 2243

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

LCM of:
and

Least Common Multiple of 2239 and 2243

LCM of 2239 and 2243 is 5022077

Least common multiple can be found by multiplying the highest exponent prime factors of 2239 and 2243. First we will calculate the prime factors of 2239 and 2243.

Prime Factorization of 2239


2239 2239
1

Prime factors of 2239 are 2239. Prime factorization of 2239 in exponential form is:

2239 = 22391

Prime Factorization of 2243


2243 2243
1

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

2243 = 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 2239 and 2243.

LCM(2239,2243) = 22391×22431
LCM(2239,2243) = 5022077

Factors of 2239

List of positive integer factors of 2239 that divides 2239 without a remainder.

1, 2239

Factors of 2243

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

1, 2243

Least Common Multiple of 2239 and 2243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2239 and 2243, than apply into the LCM equation.

GCF(2239,2243) = 1
LCM(2239,2243) = ( 2239 × 2243) / 1
LCM(2239,2243) = 5022077 / 1
LCM(2239,2243) = 5022077

Properties of LCM 2239 and 2243

(i) The LCM of 2243 and 2239 is associative

LCM of 2239 and 2243 = LCM of 2243 and 2239

Related Least Common Multiples of 2239

Related Least Common Multiples of 2243

Frequently Asked Questions on LCM of 2239 and 2243

1. What is the LCM of 2239 and 2243?

Answer: LCM of 2239 and 2243 is 5022077.

2. What are the Factors of 2239?

Answer: Factors of 2239 are 1, 2239. There are 2 integers that are factors of 2239. The greatest factor of 2239 is 2239.

3. 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.

4. How to Find the LCM of 2239 and 2243?

Answer:

Least Common Multiple of 2239 and 2243 = 5022077

Step 1: Find the prime factorization of 2239

2239 = 2239

Step 2: Find the prime factorization of 2243

2243 = 2243

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

LCM = 5022077 = 2239 x 2243

Step 4: Therefore, the least common multiple of 2239 and 2243 is 5022077.