Least Common Multiple of 2423 and 2427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2423 and 2427 the smallest integer that is 5880621 that is divisible by both numbers.

Least Common Multiple (LCM) of 2423 and 2427 is 5880621.

LCM(2423,2427) = 5880621

LCM of 2423 and 2427

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

LCM of:
and

Least Common Multiple of 2423 and 2427

LCM of 2423 and 2427 is 5880621

Least common multiple can be found by multiplying the highest exponent prime factors of 2423 and 2427. First we will calculate the prime factors of 2423 and 2427.

Prime Factorization of 2423


2423 2423
1

Prime factors of 2423 are 2423. Prime factorization of 2423 in exponential form is:

2423 = 24231

Prime Factorization of 2427


3 2427
809 809
1

Prime factors of 2427 are 3,809. Prime factorization of 2427 in exponential form is:

2427 = 31×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 2423 and 2427.

LCM(2423,2427) = 31×8091×24231
LCM(2423,2427) = 5880621

Factors of 2423

List of positive integer factors of 2423 that divides 2423 without a remainder.

1, 2423

Factors of 2427

List of positive integer factors of 2427 that divides 2427 without a remainder.

1, 3, 809, 2427

Least Common Multiple of 2423 and 2427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2423 and 2427, than apply into the LCM equation.

GCF(2423,2427) = 1
LCM(2423,2427) = ( 2423 × 2427) / 1
LCM(2423,2427) = 5880621 / 1
LCM(2423,2427) = 5880621

Properties of LCM 2423 and 2427

(i) The LCM of 2427 and 2423 is associative

LCM of 2423 and 2427 = LCM of 2427 and 2423

Frequently Asked Questions on LCM of 2423 and 2427

1. What is the LCM of 2423 and 2427?

Answer: LCM of 2423 and 2427 is 5880621.

2. What are the Factors of 2423?

Answer: Factors of 2423 are 1, 2423. There are 2 integers that are factors of 2423. The greatest factor of 2423 is 2423.

3. What are the Factors of 2427?

Answer: Factors of 2427 are 1, 3, 809, 2427. There are 4 integers that are factors of 2427. The greatest factor of 2427 is 2427.

4. How to Find the LCM of 2423 and 2427?

Answer:

Least Common Multiple of 2423 and 2427 = 5880621

Step 1: Find the prime factorization of 2423

2423 = 2423

Step 2: Find the prime factorization of 2427

2427 = 3 x 809

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

LCM = 5880621 = 3 x 809 x 2423

Step 4: Therefore, the least common multiple of 2423 and 2427 is 5880621.