Least Common Multiple of 6434 and 6439

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 6439 the smallest integer that is 41428526 that is divisible by both numbers.

Least Common Multiple (LCM) of 6434 and 6439 is 41428526.

LCM(6434,6439) = 41428526

LCM of 6434 and 6439

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

LCM of:
and

Least Common Multiple of 6434 and 6439

LCM of 6434 and 6439 is 41428526

Least common multiple can be found by multiplying the highest exponent prime factors of 6434 and 6439. First we will calculate the prime factors of 6434 and 6439.

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 6439


47 6439
137 137
1

Prime factors of 6439 are 47,137. Prime factorization of 6439 in exponential form is:

6439 = 471×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6434 and 6439.

LCM(6434,6439) = 21×471×1371×32171
LCM(6434,6439) = 41428526

Factors of 6434

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

1, 2, 3217, 6434

Factors of 6439

List of positive integer factors of 6439 that divides 6439 without a remainder.

1, 47, 137, 6439

Least Common Multiple of 6434 and 6439 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 6439, than apply into the LCM equation.

GCF(6434,6439) = 1
LCM(6434,6439) = ( 6434 × 6439) / 1
LCM(6434,6439) = 41428526 / 1
LCM(6434,6439) = 41428526

Properties of LCM 6434 and 6439

(i) The LCM of 6439 and 6434 is associative

LCM of 6434 and 6439 = LCM of 6439 and 6434

Related Least Common Multiples of 6434

Related Least Common Multiples of 6439

Frequently Asked Questions on LCM of 6434 and 6439

1. What is the LCM of 6434 and 6439?

Answer: LCM of 6434 and 6439 is 41428526.

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 6439?

Answer: Factors of 6439 are 1, 47, 137, 6439. There are 4 integers that are factors of 6439. The greatest factor of 6439 is 6439.

4. How to Find the LCM of 6434 and 6439?

Answer:

Least Common Multiple of 6434 and 6439 = 41428526

Step 1: Find the prime factorization of 6434

6434 = 2 x 3217

Step 2: Find the prime factorization of 6439

6439 = 47 x 137

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

LCM = 41428526 = 2 x 47 x 137 x 3217

Step 4: Therefore, the least common multiple of 6434 and 6439 is 41428526.