Least Common Multiple of 2443 and 2447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2443 and 2447 the smallest integer that is 5978021 that is divisible by both numbers.

Least Common Multiple (LCM) of 2443 and 2447 is 5978021.

LCM(2443,2447) = 5978021

LCM of 2443 and 2447

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

LCM of:
and

Least Common Multiple of 2443 and 2447

LCM of 2443 and 2447 is 5978021

Least common multiple can be found by multiplying the highest exponent prime factors of 2443 and 2447. First we will calculate the prime factors of 2443 and 2447.

Prime Factorization of 2443


7 2443
349 349
1

Prime factors of 2443 are 7,349. Prime factorization of 2443 in exponential form is:

2443 = 71×3491

Prime Factorization of 2447


2447 2447
1

Prime factors of 2447 are 2447. Prime factorization of 2447 in exponential form is:

2447 = 24471

Now multiplying the highest exponent prime factors to calculate the LCM of 2443 and 2447.

LCM(2443,2447) = 71×3491×24471
LCM(2443,2447) = 5978021

Factors of 2443

List of positive integer factors of 2443 that divides 2443 without a remainder.

1, 7, 349, 2443

Factors of 2447

List of positive integer factors of 2447 that divides 2447 without a remainder.

1, 2447

Least Common Multiple of 2443 and 2447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2443 and 2447, than apply into the LCM equation.

GCF(2443,2447) = 1
LCM(2443,2447) = ( 2443 × 2447) / 1
LCM(2443,2447) = 5978021 / 1
LCM(2443,2447) = 5978021

Properties of LCM 2443 and 2447

(i) The LCM of 2447 and 2443 is associative

LCM of 2443 and 2447 = LCM of 2447 and 2443

Related Least Common Multiples of 2443

Related Least Common Multiples of 2447

Frequently Asked Questions on LCM of 2443 and 2447

1. What is the LCM of 2443 and 2447?

Answer: LCM of 2443 and 2447 is 5978021.

2. What are the Factors of 2443?

Answer: Factors of 2443 are 1, 7, 349, 2443. There are 4 integers that are factors of 2443. The greatest factor of 2443 is 2443.

3. What are the Factors of 2447?

Answer: Factors of 2447 are 1, 2447. There are 2 integers that are factors of 2447. The greatest factor of 2447 is 2447.

4. How to Find the LCM of 2443 and 2447?

Answer:

Least Common Multiple of 2443 and 2447 = 5978021

Step 1: Find the prime factorization of 2443

2443 = 7 x 349

Step 2: Find the prime factorization of 2447

2447 = 2447

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

LCM = 5978021 = 7 x 349 x 2447

Step 4: Therefore, the least common multiple of 2443 and 2447 is 5978021.