Least Common Multiple of 6434 and 6441

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 6441 the smallest integer that is 41441394 that is divisible by both numbers.

Least Common Multiple (LCM) of 6434 and 6441 is 41441394.

LCM(6434,6441) = 41441394

LCM of 6434 and 6441

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

LCM of:
and

Least Common Multiple of 6434 and 6441

LCM of 6434 and 6441 is 41441394

Least common multiple can be found by multiplying the highest exponent prime factors of 6434 and 6441. First we will calculate the prime factors of 6434 and 6441.

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 6441


3 6441
19 2147
113 113
1

Prime factors of 6441 are 3, 19,113. Prime factorization of 6441 in exponential form is:

6441 = 31×191×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6434 and 6441.

LCM(6434,6441) = 21×31×191×1131×32171
LCM(6434,6441) = 41441394

Factors of 6434

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

1, 2, 3217, 6434

Factors of 6441

List of positive integer factors of 6441 that divides 6441 without a remainder.

1, 3, 19, 57, 113, 339, 2147, 6441

Least Common Multiple of 6434 and 6441 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 6441, than apply into the LCM equation.

GCF(6434,6441) = 1
LCM(6434,6441) = ( 6434 × 6441) / 1
LCM(6434,6441) = 41441394 / 1
LCM(6434,6441) = 41441394

Properties of LCM 6434 and 6441

(i) The LCM of 6441 and 6434 is associative

LCM of 6434 and 6441 = LCM of 6441 and 6434

Related Least Common Multiples of 6434

Related Least Common Multiples of 6441

Frequently Asked Questions on LCM of 6434 and 6441

1. What is the LCM of 6434 and 6441?

Answer: LCM of 6434 and 6441 is 41441394.

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 6441?

Answer: Factors of 6441 are 1, 3, 19, 57, 113, 339, 2147, 6441. There are 8 integers that are factors of 6441. The greatest factor of 6441 is 6441.

4. How to Find the LCM of 6434 and 6441?

Answer:

Least Common Multiple of 6434 and 6441 = 41441394

Step 1: Find the prime factorization of 6434

6434 = 2 x 3217

Step 2: Find the prime factorization of 6441

6441 = 3 x 19 x 113

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

LCM = 41441394 = 2 x 3 x 19 x 113 x 3217

Step 4: Therefore, the least common multiple of 6434 and 6441 is 41441394.