Least Common Multiple of 2421 and 2428

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 2428 the smallest integer that is 5878188 that is divisible by both numbers.

Least Common Multiple (LCM) of 2421 and 2428 is 5878188.

LCM(2421,2428) = 5878188

LCM of 2421 and 2428

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

LCM of:
and

Least Common Multiple of 2421 and 2428

LCM of 2421 and 2428 is 5878188

Least common multiple can be found by multiplying the highest exponent prime factors of 2421 and 2428. First we will calculate the prime factors of 2421 and 2428.

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 2428


2 2428
2 1214
607 607
1

Prime factors of 2428 are 2,607. Prime factorization of 2428 in exponential form is:

2428 = 22×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 2421 and 2428.

LCM(2421,2428) = 22×32×2691×6071
LCM(2421,2428) = 5878188

Factors of 2421

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

1, 3, 9, 269, 807, 2421

Factors of 2428

List of positive integer factors of 2428 that divides 2428 without a remainder.

1, 2, 4, 607, 1214, 2428

Least Common Multiple of 2421 and 2428 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 2428, than apply into the LCM equation.

GCF(2421,2428) = 1
LCM(2421,2428) = ( 2421 × 2428) / 1
LCM(2421,2428) = 5878188 / 1
LCM(2421,2428) = 5878188

Properties of LCM 2421 and 2428

(i) The LCM of 2428 and 2421 is associative

LCM of 2421 and 2428 = LCM of 2428 and 2421

Related Least Common Multiples of 2421

Related Least Common Multiples of 2428

Frequently Asked Questions on LCM of 2421 and 2428

1. What is the LCM of 2421 and 2428?

Answer: LCM of 2421 and 2428 is 5878188.

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 2428?

Answer: Factors of 2428 are 1, 2, 4, 607, 1214, 2428. There are 6 integers that are factors of 2428. The greatest factor of 2428 is 2428.

4. How to Find the LCM of 2421 and 2428?

Answer:

Least Common Multiple of 2421 and 2428 = 5878188

Step 1: Find the prime factorization of 2421

2421 = 3 x 3 x 269

Step 2: Find the prime factorization of 2428

2428 = 2 x 2 x 607

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

LCM = 5878188 = 2 x 2 x 3 x 3 x 269 x 607

Step 4: Therefore, the least common multiple of 2421 and 2428 is 5878188.