Least Common Multiple of 2430 and 2432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2430 and 2432 the smallest integer that is 2954880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2430 and 2432 is 2954880.

LCM(2430,2432) = 2954880

LCM of 2430 and 2432

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

LCM of:
and

Least Common Multiple of 2430 and 2432

LCM of 2430 and 2432 is 2954880

Least common multiple can be found by multiplying the highest exponent prime factors of 2430 and 2432. First we will calculate the prime factors of 2430 and 2432.

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

Prime Factorization of 2432


2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 2432 are 2,19. Prime factorization of 2432 in exponential form is:

2432 = 27×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2430 and 2432.

LCM(2430,2432) = 27×35×51×191
LCM(2430,2432) = 2954880

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

Factors of 2432

List of positive integer factors of 2432 that divides 2432 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432

Least Common Multiple of 2430 and 2432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2430 and 2432, than apply into the LCM equation.

GCF(2430,2432) = 2
LCM(2430,2432) = ( 2430 × 2432) / 2
LCM(2430,2432) = 5909760 / 2
LCM(2430,2432) = 2954880

Properties of LCM 2430 and 2432

(i) The LCM of 2432 and 2430 is associative

LCM of 2430 and 2432 = LCM of 2432 and 2430

Related Least Common Multiples of 2430

Related Least Common Multiples of 2432

Frequently Asked Questions on LCM of 2430 and 2432

1. What is the LCM of 2430 and 2432?

Answer: LCM of 2430 and 2432 is 2954880.

2. 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.

3. What are the Factors of 2432?

Answer: Factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432. There are 16 integers that are factors of 2432. The greatest factor of 2432 is 2432.

4. How to Find the LCM of 2430 and 2432?

Answer:

Least Common Multiple of 2430 and 2432 = 2954880

Step 1: Find the prime factorization of 2430

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

Step 2: Find the prime factorization of 2432

2432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 2954880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 19

Step 4: Therefore, the least common multiple of 2430 and 2432 is 2954880.