Least Common Multiple of 2242 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 2242 and 2243 the smallest integer that is 5028806 that is divisible by both numbers.

Least Common Multiple (LCM) of 2242 and 2243 is 5028806.

LCM(2242,2243) = 5028806

LCM of 2242 and 2243

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

LCM of:
and

Least Common Multiple of 2242 and 2243

LCM of 2242 and 2243 is 5028806

Least common multiple can be found by multiplying the highest exponent prime factors of 2242 and 2243. First we will calculate the prime factors of 2242 and 2243.

Prime Factorization of 2242


2 2242
19 1121
59 59
1

Prime factors of 2242 are 2, 19,59. Prime factorization of 2242 in exponential form is:

2242 = 21×191×591

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 2242 and 2243.

LCM(2242,2243) = 21×191×591×22431
LCM(2242,2243) = 5028806

Factors of 2242

List of positive integer factors of 2242 that divides 2242 without a remainder.

1, 2, 19, 38, 59, 118, 1121, 2242

Factors of 2243

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

1, 2243

Least Common Multiple of 2242 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 2242 and 2243, than apply into the LCM equation.

GCF(2242,2243) = 1
LCM(2242,2243) = ( 2242 × 2243) / 1
LCM(2242,2243) = 5028806 / 1
LCM(2242,2243) = 5028806

Properties of LCM 2242 and 2243

(i) The LCM of 2243 and 2242 is associative

LCM of 2242 and 2243 = LCM of 2243 and 2242

Related Least Common Multiples of 2242

Related Least Common Multiples of 2243

Frequently Asked Questions on LCM of 2242 and 2243

1. What is the LCM of 2242 and 2243?

Answer: LCM of 2242 and 2243 is 5028806.

2. What are the Factors of 2242?

Answer: Factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242. There are 8 integers that are factors of 2242. The greatest factor of 2242 is 2242.

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 2242 and 2243?

Answer:

Least Common Multiple of 2242 and 2243 = 5028806

Step 1: Find the prime factorization of 2242

2242 = 2 x 19 x 59

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 = 5028806 = 2 x 19 x 59 x 2243

Step 4: Therefore, the least common multiple of 2242 and 2243 is 5028806.