Least Common Multiple of 2429 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 2429 and 2430 the smallest integer that is 5902470 that is divisible by both numbers.

Least Common Multiple (LCM) of 2429 and 2430 is 5902470.

LCM(2429,2430) = 5902470

LCM of 2429 and 2430

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

LCM of:
and

Least Common Multiple of 2429 and 2430

LCM of 2429 and 2430 is 5902470

Least common multiple can be found by multiplying the highest exponent prime factors of 2429 and 2430. First we will calculate the prime factors of 2429 and 2430.

Prime Factorization of 2429


7 2429
347 347
1

Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:

2429 = 71×3471

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 2429 and 2430.

LCM(2429,2430) = 21×35×51×71×3471
LCM(2429,2430) = 5902470

Factors of 2429

List of positive integer factors of 2429 that divides 2429 without a remainder.

1, 7, 347, 2429

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 2429 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 2429 and 2430, than apply into the LCM equation.

GCF(2429,2430) = 1
LCM(2429,2430) = ( 2429 × 2430) / 1
LCM(2429,2430) = 5902470 / 1
LCM(2429,2430) = 5902470

Properties of LCM 2429 and 2430

(i) The LCM of 2430 and 2429 is associative

LCM of 2429 and 2430 = LCM of 2430 and 2429

Related Least Common Multiples of 2429

Related Least Common Multiples of 2430

Frequently Asked Questions on LCM of 2429 and 2430

1. What is the LCM of 2429 and 2430?

Answer: LCM of 2429 and 2430 is 5902470.

2. What are the Factors of 2429?

Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.

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 2429 and 2430?

Answer:

Least Common Multiple of 2429 and 2430 = 5902470

Step 1: Find the prime factorization of 2429

2429 = 7 x 347

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 = 5902470 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 347

Step 4: Therefore, the least common multiple of 2429 and 2430 is 5902470.