Least Common Multiple of 6424 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 6424 and 6428 the smallest integer that is 10323368 that is divisible by both numbers.

Least Common Multiple (LCM) of 6424 and 6428 is 10323368.

LCM(6424,6428) = 10323368

LCM of 6424 and 6428

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

LCM of:
and

Least Common Multiple of 6424 and 6428

LCM of 6424 and 6428 is 10323368

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6428. First we will calculate the prime factors of 6424 and 6428.

Prime Factorization of 6424


2 6424
2 3212
2 1606
11 803
73 73
1

Prime factors of 6424 are 2, 11,73. Prime factorization of 6424 in exponential form is:

6424 = 23×111×731

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 6424 and 6428.

LCM(6424,6428) = 23×111×731×16071
LCM(6424,6428) = 10323368

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424

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 6424 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 6424 and 6428, than apply into the LCM equation.

GCF(6424,6428) = 4
LCM(6424,6428) = ( 6424 × 6428) / 4
LCM(6424,6428) = 41293472 / 4
LCM(6424,6428) = 10323368

Properties of LCM 6424 and 6428

(i) The LCM of 6428 and 6424 is associative

LCM of 6424 and 6428 = LCM of 6428 and 6424

Related Least Common Multiples of 6424

Related Least Common Multiples of 6428

Frequently Asked Questions on LCM of 6424 and 6428

1. What is the LCM of 6424 and 6428?

Answer: LCM of 6424 and 6428 is 10323368.

2. What are the Factors of 6424?

Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.

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 6424 and 6428?

Answer:

Least Common Multiple of 6424 and 6428 = 10323368

Step 1: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

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 = 10323368 = 2 x 2 x 2 x 11 x 73 x 1607

Step 4: Therefore, the least common multiple of 6424 and 6428 is 10323368.