Least Common Multiple of 6428 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 6428 and 6433 the smallest integer that is 41351324 that is divisible by both numbers.

Least Common Multiple (LCM) of 6428 and 6433 is 41351324.

LCM(6428,6433) = 41351324

LCM of 6428 and 6433

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

LCM of:
and

Least Common Multiple of 6428 and 6433

LCM of 6428 and 6433 is 41351324

Least common multiple can be found by multiplying the highest exponent prime factors of 6428 and 6433. First we will calculate the prime factors of 6428 and 6433.

Prime Factorization of 6428


2 6428
2 3214
1607 1607
1

Prime factors of 6428 are 2,1607. Prime factorization of 6428 in exponential form is:

6428 = 22×16071

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 6428 and 6433.

LCM(6428,6433) = 22×71×9191×16071
LCM(6428,6433) = 41351324

Factors of 6428

List of positive integer factors of 6428 that divides 6428 without a remainder.

1, 2, 4, 1607, 3214, 6428

Factors of 6433

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

1, 7, 919, 6433

Least Common Multiple of 6428 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 6428 and 6433, than apply into the LCM equation.

GCF(6428,6433) = 1
LCM(6428,6433) = ( 6428 × 6433) / 1
LCM(6428,6433) = 41351324 / 1
LCM(6428,6433) = 41351324

Properties of LCM 6428 and 6433

(i) The LCM of 6433 and 6428 is associative

LCM of 6428 and 6433 = LCM of 6433 and 6428

Related Least Common Multiples of 6428

Related Least Common Multiples of 6433

Frequently Asked Questions on LCM of 6428 and 6433

1. What is the LCM of 6428 and 6433?

Answer: LCM of 6428 and 6433 is 41351324.

2. What are the Factors of 6428?

Answer: Factors of 6428 are 1, 2, 4, 1607, 3214, 6428. There are 6 integers that are factors of 6428. The greatest factor of 6428 is 6428.

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 6428 and 6433?

Answer:

Least Common Multiple of 6428 and 6433 = 41351324

Step 1: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

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 = 41351324 = 2 x 2 x 7 x 919 x 1607

Step 4: Therefore, the least common multiple of 6428 and 6433 is 41351324.