Least Common Multiple of 6427 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 6427 and 6434 the smallest integer that is 41351318 that is divisible by both numbers.

Least Common Multiple (LCM) of 6427 and 6434 is 41351318.

LCM(6427,6434) = 41351318

LCM of 6427 and 6434

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

LCM of:
and

Least Common Multiple of 6427 and 6434

LCM of 6427 and 6434 is 41351318

Least common multiple can be found by multiplying the highest exponent prime factors of 6427 and 6434. First we will calculate the prime factors of 6427 and 6434.

Prime Factorization of 6427


6427 6427
1

Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:

6427 = 64271

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 6427 and 6434.

LCM(6427,6434) = 21×32171×64271
LCM(6427,6434) = 41351318

Factors of 6427

List of positive integer factors of 6427 that divides 6427 without a remainder.

1, 6427

Factors of 6434

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

1, 2, 3217, 6434

Least Common Multiple of 6427 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 6427 and 6434, than apply into the LCM equation.

GCF(6427,6434) = 1
LCM(6427,6434) = ( 6427 × 6434) / 1
LCM(6427,6434) = 41351318 / 1
LCM(6427,6434) = 41351318

Properties of LCM 6427 and 6434

(i) The LCM of 6434 and 6427 is associative

LCM of 6427 and 6434 = LCM of 6434 and 6427

Related Least Common Multiples of 6427

Related Least Common Multiples of 6434

Frequently Asked Questions on LCM of 6427 and 6434

1. What is the LCM of 6427 and 6434?

Answer: LCM of 6427 and 6434 is 41351318.

2. What are the Factors of 6427?

Answer: Factors of 6427 are 1, 6427. There are 2 integers that are factors of 6427. The greatest factor of 6427 is 6427.

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 6427 and 6434?

Answer:

Least Common Multiple of 6427 and 6434 = 41351318

Step 1: Find the prime factorization of 6427

6427 = 6427

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 = 41351318 = 2 x 3217 x 6427

Step 4: Therefore, the least common multiple of 6427 and 6434 is 41351318.