Least Common Multiple of 6427 and 6433

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 6433 the smallest integer that is 41344891 that is divisible by both numbers.

Least Common Multiple (LCM) of 6427 and 6433 is 41344891.

LCM(6427,6433) = 41344891

LCM of 6427 and 6433

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

LCM of:
and

Least Common Multiple of 6427 and 6433

LCM of 6427 and 6433 is 41344891

Least common multiple can be found by multiplying the highest exponent prime factors of 6427 and 6433. First we will calculate the prime factors of 6427 and 6433.

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 6433


7 6433
919 919
1

Prime factors of 6433 are 7,919. Prime factorization of 6433 in exponential form is:

6433 = 71×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 6427 and 6433.

LCM(6427,6433) = 71×9191×64271
LCM(6427,6433) = 41344891

Factors of 6427

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

1, 6427

Factors of 6433

List of positive integer factors of 6433 that divides 6433 without a remainder.

1, 7, 919, 6433

Least Common Multiple of 6427 and 6433 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 6433, than apply into the LCM equation.

GCF(6427,6433) = 1
LCM(6427,6433) = ( 6427 × 6433) / 1
LCM(6427,6433) = 41344891 / 1
LCM(6427,6433) = 41344891

Properties of LCM 6427 and 6433

(i) The LCM of 6433 and 6427 is associative

LCM of 6427 and 6433 = LCM of 6433 and 6427

Related Least Common Multiples of 6427

Related Least Common Multiples of 6433

Frequently Asked Questions on LCM of 6427 and 6433

1. What is the LCM of 6427 and 6433?

Answer: LCM of 6427 and 6433 is 41344891.

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 6433?

Answer: Factors of 6433 are 1, 7, 919, 6433. There are 4 integers that are factors of 6433. The greatest factor of 6433 is 6433.

4. How to Find the LCM of 6427 and 6433?

Answer:

Least Common Multiple of 6427 and 6433 = 41344891

Step 1: Find the prime factorization of 6427

6427 = 6427

Step 2: Find the prime factorization of 6433

6433 = 7 x 919

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

LCM = 41344891 = 7 x 919 x 6427

Step 4: Therefore, the least common multiple of 6427 and 6433 is 41344891.