Least Common Multiple of 2434 and 2439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2434 and 2439 the smallest integer that is 5936526 that is divisible by both numbers.

Least Common Multiple (LCM) of 2434 and 2439 is 5936526.

LCM(2434,2439) = 5936526

LCM of 2434 and 2439

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

LCM of:
and

Least Common Multiple of 2434 and 2439

LCM of 2434 and 2439 is 5936526

Least common multiple can be found by multiplying the highest exponent prime factors of 2434 and 2439. First we will calculate the prime factors of 2434 and 2439.

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

Prime Factorization of 2439


3 2439
3 813
271 271
1

Prime factors of 2439 are 3,271. Prime factorization of 2439 in exponential form is:

2439 = 32×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2434 and 2439.

LCM(2434,2439) = 21×32×2711×12171
LCM(2434,2439) = 5936526

Factors of 2434

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

1, 2, 1217, 2434

Factors of 2439

List of positive integer factors of 2439 that divides 2439 without a remainder.

1, 3, 9, 271, 813, 2439

Least Common Multiple of 2434 and 2439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2434 and 2439, than apply into the LCM equation.

GCF(2434,2439) = 1
LCM(2434,2439) = ( 2434 × 2439) / 1
LCM(2434,2439) = 5936526 / 1
LCM(2434,2439) = 5936526

Properties of LCM 2434 and 2439

(i) The LCM of 2439 and 2434 is associative

LCM of 2434 and 2439 = LCM of 2439 and 2434

Related Least Common Multiples of 2434

Related Least Common Multiples of 2439

Frequently Asked Questions on LCM of 2434 and 2439

1. What is the LCM of 2434 and 2439?

Answer: LCM of 2434 and 2439 is 5936526.

2. 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.

3. What are the Factors of 2439?

Answer: Factors of 2439 are 1, 3, 9, 271, 813, 2439. There are 6 integers that are factors of 2439. The greatest factor of 2439 is 2439.

4. How to Find the LCM of 2434 and 2439?

Answer:

Least Common Multiple of 2434 and 2439 = 5936526

Step 1: Find the prime factorization of 2434

2434 = 2 x 1217

Step 2: Find the prime factorization of 2439

2439 = 3 x 3 x 271

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

LCM = 5936526 = 2 x 3 x 3 x 271 x 1217

Step 4: Therefore, the least common multiple of 2434 and 2439 is 5936526.