Least Common Multiple of 2432 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 2432 and 2434 the smallest integer that is 2959744 that is divisible by both numbers.

Least Common Multiple (LCM) of 2432 and 2434 is 2959744.

LCM(2432,2434) = 2959744

LCM of 2432 and 2434

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

LCM of:
and

Least Common Multiple of 2432 and 2434

LCM of 2432 and 2434 is 2959744

Least common multiple can be found by multiplying the highest exponent prime factors of 2432 and 2434. First we will calculate the prime factors of 2432 and 2434.

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

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 2432 and 2434.

LCM(2432,2434) = 27×191×12171
LCM(2432,2434) = 2959744

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

Factors of 2434

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

1, 2, 1217, 2434

Least Common Multiple of 2432 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 2432 and 2434, than apply into the LCM equation.

GCF(2432,2434) = 2
LCM(2432,2434) = ( 2432 × 2434) / 2
LCM(2432,2434) = 5919488 / 2
LCM(2432,2434) = 2959744

Properties of LCM 2432 and 2434

(i) The LCM of 2434 and 2432 is associative

LCM of 2432 and 2434 = LCM of 2434 and 2432

Related Least Common Multiples of 2432

Related Least Common Multiples of 2434

Frequently Asked Questions on LCM of 2432 and 2434

1. What is the LCM of 2432 and 2434?

Answer: LCM of 2432 and 2434 is 2959744.

2. 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.

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 2432 and 2434?

Answer:

Least Common Multiple of 2432 and 2434 = 2959744

Step 1: Find the prime factorization of 2432

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

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 = 2959744 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19 x 1217

Step 4: Therefore, the least common multiple of 2432 and 2434 is 2959744.