Least Common Multiple of 6421 and 6428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6421 and 6428 the smallest integer that is 41274188 that is divisible by both numbers.

Least Common Multiple (LCM) of 6421 and 6428 is 41274188.

LCM(6421,6428) = 41274188

LCM of 6421 and 6428

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

LCM of:
and

Least Common Multiple of 6421 and 6428

LCM of 6421 and 6428 is 41274188

Least common multiple can be found by multiplying the highest exponent prime factors of 6421 and 6428. First we will calculate the prime factors of 6421 and 6428.

Prime Factorization of 6421


6421 6421
1

Prime factors of 6421 are 6421. Prime factorization of 6421 in exponential form is:

6421 = 64211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6421 and 6428.

LCM(6421,6428) = 22×16071×64211
LCM(6421,6428) = 41274188

Factors of 6421

List of positive integer factors of 6421 that divides 6421 without a remainder.

1, 6421

Factors of 6428

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

1, 2, 4, 1607, 3214, 6428

Least Common Multiple of 6421 and 6428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6421 and 6428, than apply into the LCM equation.

GCF(6421,6428) = 1
LCM(6421,6428) = ( 6421 × 6428) / 1
LCM(6421,6428) = 41274188 / 1
LCM(6421,6428) = 41274188

Properties of LCM 6421 and 6428

(i) The LCM of 6428 and 6421 is associative

LCM of 6421 and 6428 = LCM of 6428 and 6421

Related Least Common Multiples of 6421

Related Least Common Multiples of 6428

Frequently Asked Questions on LCM of 6421 and 6428

1. What is the LCM of 6421 and 6428?

Answer: LCM of 6421 and 6428 is 41274188.

2. What are the Factors of 6421?

Answer: Factors of 6421 are 1, 6421. There are 2 integers that are factors of 6421. The greatest factor of 6421 is 6421.

3. 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.

4. How to Find the LCM of 6421 and 6428?

Answer:

Least Common Multiple of 6421 and 6428 = 41274188

Step 1: Find the prime factorization of 6421

6421 = 6421

Step 2: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

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

LCM = 41274188 = 2 x 2 x 1607 x 6421

Step 4: Therefore, the least common multiple of 6421 and 6428 is 41274188.