Least Common Multiple of 6428 and 6436

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 6436 the smallest integer that is 10342652 that is divisible by both numbers.

Least Common Multiple (LCM) of 6428 and 6436 is 10342652.

LCM(6428,6436) = 10342652

LCM of 6428 and 6436

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

LCM of:
and

Least Common Multiple of 6428 and 6436

LCM of 6428 and 6436 is 10342652

Least common multiple can be found by multiplying the highest exponent prime factors of 6428 and 6436. First we will calculate the prime factors of 6428 and 6436.

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 6436


2 6436
2 3218
1609 1609
1

Prime factors of 6436 are 2,1609. Prime factorization of 6436 in exponential form is:

6436 = 22×16091

Now multiplying the highest exponent prime factors to calculate the LCM of 6428 and 6436.

LCM(6428,6436) = 22×16071×16091
LCM(6428,6436) = 10342652

Factors of 6428

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

1, 2, 4, 1607, 3214, 6428

Factors of 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1, 2, 4, 1609, 3218, 6436

Least Common Multiple of 6428 and 6436 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 6436, than apply into the LCM equation.

GCF(6428,6436) = 4
LCM(6428,6436) = ( 6428 × 6436) / 4
LCM(6428,6436) = 41370608 / 4
LCM(6428,6436) = 10342652

Properties of LCM 6428 and 6436

(i) The LCM of 6436 and 6428 is associative

LCM of 6428 and 6436 = LCM of 6436 and 6428

Related Least Common Multiples of 6428

Related Least Common Multiples of 6436

Frequently Asked Questions on LCM of 6428 and 6436

1. What is the LCM of 6428 and 6436?

Answer: LCM of 6428 and 6436 is 10342652.

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 6436?

Answer: Factors of 6436 are 1, 2, 4, 1609, 3218, 6436. There are 6 integers that are factors of 6436. The greatest factor of 6436 is 6436.

4. How to Find the LCM of 6428 and 6436?

Answer:

Least Common Multiple of 6428 and 6436 = 10342652

Step 1: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

Step 2: Find the prime factorization of 6436

6436 = 2 x 2 x 1609

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

LCM = 10342652 = 2 x 2 x 1607 x 1609

Step 4: Therefore, the least common multiple of 6428 and 6436 is 10342652.