Least Common Multiple of 6434 and 6442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6434 and 6442 the smallest integer that is 20723914 that is divisible by both numbers.

Least Common Multiple (LCM) of 6434 and 6442 is 20723914.

LCM(6434,6442) = 20723914

LCM of 6434 and 6442

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

LCM of:
and

Least Common Multiple of 6434 and 6442

LCM of 6434 and 6442 is 20723914

Least common multiple can be found by multiplying the highest exponent prime factors of 6434 and 6442. First we will calculate the prime factors of 6434 and 6442.

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

Prime Factorization of 6442


2 6442
3221 3221
1

Prime factors of 6442 are 2,3221. Prime factorization of 6442 in exponential form is:

6442 = 21×32211

Now multiplying the highest exponent prime factors to calculate the LCM of 6434 and 6442.

LCM(6434,6442) = 21×32171×32211
LCM(6434,6442) = 20723914

Factors of 6434

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

1, 2, 3217, 6434

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1, 2, 3221, 6442

Least Common Multiple of 6434 and 6442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6434 and 6442, than apply into the LCM equation.

GCF(6434,6442) = 2
LCM(6434,6442) = ( 6434 × 6442) / 2
LCM(6434,6442) = 41447828 / 2
LCM(6434,6442) = 20723914

Properties of LCM 6434 and 6442

(i) The LCM of 6442 and 6434 is associative

LCM of 6434 and 6442 = LCM of 6442 and 6434

Related Least Common Multiples of 6434

Related Least Common Multiples of 6442

Frequently Asked Questions on LCM of 6434 and 6442

1. What is the LCM of 6434 and 6442?

Answer: LCM of 6434 and 6442 is 20723914.

2. 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.

3. What are the Factors of 6442?

Answer: Factors of 6442 are 1, 2, 3221, 6442. There are 4 integers that are factors of 6442. The greatest factor of 6442 is 6442.

4. How to Find the LCM of 6434 and 6442?

Answer:

Least Common Multiple of 6434 and 6442 = 20723914

Step 1: Find the prime factorization of 6434

6434 = 2 x 3217

Step 2: Find the prime factorization of 6442

6442 = 2 x 3221

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

LCM = 20723914 = 2 x 3217 x 3221

Step 4: Therefore, the least common multiple of 6434 and 6442 is 20723914.