Least Common Multiple of 6430 and 6434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6430 and 6434 the smallest integer that is 20685310 that is divisible by both numbers.

Least Common Multiple (LCM) of 6430 and 6434 is 20685310.

LCM(6430,6434) = 20685310

LCM of 6430 and 6434

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

LCM of:
and

Least Common Multiple of 6430 and 6434

LCM of 6430 and 6434 is 20685310

Least common multiple can be found by multiplying the highest exponent prime factors of 6430 and 6434. First we will calculate the prime factors of 6430 and 6434.

Prime Factorization of 6430


2 6430
5 3215
643 643
1

Prime factors of 6430 are 2, 5,643. Prime factorization of 6430 in exponential form is:

6430 = 21×51×6431

Prime Factorization of 6434


2 6434
3217 3217
1

Prime factors of 6434 are 2,3217. Prime factorization of 6434 in exponential form is:

6434 = 21×32171

Now multiplying the highest exponent prime factors to calculate the LCM of 6430 and 6434.

LCM(6430,6434) = 21×51×6431×32171
LCM(6430,6434) = 20685310

Factors of 6430

List of positive integer factors of 6430 that divides 6430 without a remainder.

1, 2, 5, 10, 643, 1286, 3215, 6430

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1, 2, 3217, 6434

Least Common Multiple of 6430 and 6434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6430 and 6434, than apply into the LCM equation.

GCF(6430,6434) = 2
LCM(6430,6434) = ( 6430 × 6434) / 2
LCM(6430,6434) = 41370620 / 2
LCM(6430,6434) = 20685310

Properties of LCM 6430 and 6434

(i) The LCM of 6434 and 6430 is associative

LCM of 6430 and 6434 = LCM of 6434 and 6430

Related Least Common Multiples of 6430

Related Least Common Multiples of 6434

Frequently Asked Questions on LCM of 6430 and 6434

1. What is the LCM of 6430 and 6434?

Answer: LCM of 6430 and 6434 is 20685310.

2. What are the Factors of 6430?

Answer: Factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430. There are 8 integers that are factors of 6430. The greatest factor of 6430 is 6430.

3. What are the Factors of 6434?

Answer: Factors of 6434 are 1, 2, 3217, 6434. There are 4 integers that are factors of 6434. The greatest factor of 6434 is 6434.

4. How to Find the LCM of 6430 and 6434?

Answer:

Least Common Multiple of 6430 and 6434 = 20685310

Step 1: Find the prime factorization of 6430

6430 = 2 x 5 x 643

Step 2: Find the prime factorization of 6434

6434 = 2 x 3217

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

LCM = 20685310 = 2 x 5 x 643 x 3217

Step 4: Therefore, the least common multiple of 6430 and 6434 is 20685310.