Least Common Multiple of 2428 and 2430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2428 and 2430 the smallest integer that is 2950020 that is divisible by both numbers.

Least Common Multiple (LCM) of 2428 and 2430 is 2950020.

LCM(2428,2430) = 2950020

LCM of 2428 and 2430

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

LCM of:
and

Least Common Multiple of 2428 and 2430

LCM of 2428 and 2430 is 2950020

Least common multiple can be found by multiplying the highest exponent prime factors of 2428 and 2430. First we will calculate the prime factors of 2428 and 2430.

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

Prime Factorization of 2430


2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 2430 are 2, 3,5. Prime factorization of 2430 in exponential form is:

2430 = 21×35×51

Now multiplying the highest exponent prime factors to calculate the LCM of 2428 and 2430.

LCM(2428,2430) = 22×35×51×6071
LCM(2428,2430) = 2950020

Factors of 2428

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

1, 2, 4, 607, 1214, 2428

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430

Least Common Multiple of 2428 and 2430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2428 and 2430, than apply into the LCM equation.

GCF(2428,2430) = 2
LCM(2428,2430) = ( 2428 × 2430) / 2
LCM(2428,2430) = 5900040 / 2
LCM(2428,2430) = 2950020

Properties of LCM 2428 and 2430

(i) The LCM of 2430 and 2428 is associative

LCM of 2428 and 2430 = LCM of 2430 and 2428

Related Least Common Multiples of 2428

Related Least Common Multiples of 2430

Frequently Asked Questions on LCM of 2428 and 2430

1. What is the LCM of 2428 and 2430?

Answer: LCM of 2428 and 2430 is 2950020.

2. 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.

3. What are the Factors of 2430?

Answer: Factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430. There are 24 integers that are factors of 2430. The greatest factor of 2430 is 2430.

4. How to Find the LCM of 2428 and 2430?

Answer:

Least Common Multiple of 2428 and 2430 = 2950020

Step 1: Find the prime factorization of 2428

2428 = 2 x 2 x 607

Step 2: Find the prime factorization of 2430

2430 = 2 x 3 x 3 x 3 x 3 x 3 x 5

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

LCM = 2950020 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 607

Step 4: Therefore, the least common multiple of 2428 and 2430 is 2950020.