Least Common Multiple of 2430 and 2434

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 2434 the smallest integer that is 2957310 that is divisible by both numbers.

Least Common Multiple (LCM) of 2430 and 2434 is 2957310.

LCM(2430,2434) = 2957310

LCM of 2430 and 2434

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

LCM of:
and

Least Common Multiple of 2430 and 2434

LCM of 2430 and 2434 is 2957310

Least common multiple can be found by multiplying the highest exponent prime factors of 2430 and 2434. First we will calculate the prime factors of 2430 and 2434.

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 2434


2 2434
1217 1217
1

Prime factors of 2434 are 2,1217. Prime factorization of 2434 in exponential form is:

2434 = 21×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 2430 and 2434.

LCM(2430,2434) = 21×35×51×12171
LCM(2430,2434) = 2957310

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 2434

List of positive integer factors of 2434 that divides 2434 without a remainder.

1, 2, 1217, 2434

Least Common Multiple of 2430 and 2434 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 2434, than apply into the LCM equation.

GCF(2430,2434) = 2
LCM(2430,2434) = ( 2430 × 2434) / 2
LCM(2430,2434) = 5914620 / 2
LCM(2430,2434) = 2957310

Properties of LCM 2430 and 2434

(i) The LCM of 2434 and 2430 is associative

LCM of 2430 and 2434 = LCM of 2434 and 2430

Related Least Common Multiples of 2430

Related Least Common Multiples of 2434

Frequently Asked Questions on LCM of 2430 and 2434

1. What is the LCM of 2430 and 2434?

Answer: LCM of 2430 and 2434 is 2957310.

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 2434?

Answer: Factors of 2434 are 1, 2, 1217, 2434. There are 4 integers that are factors of 2434. The greatest factor of 2434 is 2434.

4. How to Find the LCM of 2430 and 2434?

Answer:

Least Common Multiple of 2430 and 2434 = 2957310

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 2434

2434 = 2 x 1217

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

LCM = 2957310 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 1217

Step 4: Therefore, the least common multiple of 2430 and 2434 is 2957310.