Least Common Multiple of 6416 and 6424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6416 and 6424 the smallest integer that is 5152048 that is divisible by both numbers.

Least Common Multiple (LCM) of 6416 and 6424 is 5152048.

LCM(6416,6424) = 5152048

LCM of 6416 and 6424

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

LCM of:
and

Least Common Multiple of 6416 and 6424

LCM of 6416 and 6424 is 5152048

Least common multiple can be found by multiplying the highest exponent prime factors of 6416 and 6424. First we will calculate the prime factors of 6416 and 6424.

Prime Factorization of 6416


2 6416
2 3208
2 1604
2 802
401 401
1

Prime factors of 6416 are 2,401. Prime factorization of 6416 in exponential form is:

6416 = 24×4011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6416 and 6424.

LCM(6416,6424) = 24×111×731×4011
LCM(6416,6424) = 5152048

Factors of 6416

List of positive integer factors of 6416 that divides 6416 without a remainder.

1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416

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

Least Common Multiple of 6416 and 6424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6416 and 6424, than apply into the LCM equation.

GCF(6416,6424) = 8
LCM(6416,6424) = ( 6416 × 6424) / 8
LCM(6416,6424) = 41216384 / 8
LCM(6416,6424) = 5152048

Properties of LCM 6416 and 6424

(i) The LCM of 6424 and 6416 is associative

LCM of 6416 and 6424 = LCM of 6424 and 6416

Related Least Common Multiples of 6416

Related Least Common Multiples of 6424

Frequently Asked Questions on LCM of 6416 and 6424

1. What is the LCM of 6416 and 6424?

Answer: LCM of 6416 and 6424 is 5152048.

2. What are the Factors of 6416?

Answer: Factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416. There are 10 integers that are factors of 6416. The greatest factor of 6416 is 6416.

3. 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.

4. How to Find the LCM of 6416 and 6424?

Answer:

Least Common Multiple of 6416 and 6424 = 5152048

Step 1: Find the prime factorization of 6416

6416 = 2 x 2 x 2 x 2 x 401

Step 2: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

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

LCM = 5152048 = 2 x 2 x 2 x 2 x 11 x 73 x 401

Step 4: Therefore, the least common multiple of 6416 and 6424 is 5152048.