Least Common Multiple of 2421 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 2421 and 2427 the smallest integer that is 1958589 that is divisible by both numbers.

Least Common Multiple (LCM) of 2421 and 2427 is 1958589.

LCM(2421,2427) = 1958589

LCM of 2421 and 2427

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

LCM of:
and

Least Common Multiple of 2421 and 2427

LCM of 2421 and 2427 is 1958589

Least common multiple can be found by multiplying the highest exponent prime factors of 2421 and 2427. First we will calculate the prime factors of 2421 and 2427.

Prime Factorization of 2421


3 2421
3 807
269 269
1

Prime factors of 2421 are 3,269. Prime factorization of 2421 in exponential form is:

2421 = 32×2691

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 2421 and 2427.

LCM(2421,2427) = 32×2691×8091
LCM(2421,2427) = 1958589

Factors of 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1, 3, 9, 269, 807, 2421

Factors of 2427

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

1, 3, 809, 2427

Least Common Multiple of 2421 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 2421 and 2427, than apply into the LCM equation.

GCF(2421,2427) = 3
LCM(2421,2427) = ( 2421 × 2427) / 3
LCM(2421,2427) = 5875767 / 3
LCM(2421,2427) = 1958589

Properties of LCM 2421 and 2427

(i) The LCM of 2427 and 2421 is associative

LCM of 2421 and 2427 = LCM of 2427 and 2421

Related Least Common Multiples of 2421

Related Least Common Multiples of 2427

Frequently Asked Questions on LCM of 2421 and 2427

1. What is the LCM of 2421 and 2427?

Answer: LCM of 2421 and 2427 is 1958589.

2. What are the Factors of 2421?

Answer: Factors of 2421 are 1, 3, 9, 269, 807, 2421. There are 6 integers that are factors of 2421. The greatest factor of 2421 is 2421.

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 2421 and 2427?

Answer:

Least Common Multiple of 2421 and 2427 = 1958589

Step 1: Find the prime factorization of 2421

2421 = 3 x 3 x 269

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 = 1958589 = 3 x 3 x 269 x 809

Step 4: Therefore, the least common multiple of 2421 and 2427 is 1958589.