Least Common Multiple of 6424 and 6430

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 6430 the smallest integer that is 20653160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6424 and 6430 is 20653160.

LCM(6424,6430) = 20653160

LCM of 6424 and 6430

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

LCM of:
and

Least Common Multiple of 6424 and 6430

LCM of 6424 and 6430 is 20653160

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6430. First we will calculate the prime factors of 6424 and 6430.

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 6430


2 6430
5 3215
643 643
1

Prime factors of 6430 are 2, 5,643. Prime factorization of 6430 in exponential form is:

6430 = 21×51×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 6424 and 6430.

LCM(6424,6430) = 23×51×111×731×6431
LCM(6424,6430) = 20653160

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 6430

List of positive integer factors of 6430 that divides 6430 without a remainder.

1, 2, 5, 10, 643, 1286, 3215, 6430

Least Common Multiple of 6424 and 6430 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 6430, than apply into the LCM equation.

GCF(6424,6430) = 2
LCM(6424,6430) = ( 6424 × 6430) / 2
LCM(6424,6430) = 41306320 / 2
LCM(6424,6430) = 20653160

Properties of LCM 6424 and 6430

(i) The LCM of 6430 and 6424 is associative

LCM of 6424 and 6430 = LCM of 6430 and 6424

Related Least Common Multiples of 6424

Related Least Common Multiples of 6430

Frequently Asked Questions on LCM of 6424 and 6430

1. What is the LCM of 6424 and 6430?

Answer: LCM of 6424 and 6430 is 20653160.

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 6430?

Answer: Factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430. There are 8 integers that are factors of 6430. The greatest factor of 6430 is 6430.

4. How to Find the LCM of 6424 and 6430?

Answer:

Least Common Multiple of 6424 and 6430 = 20653160

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 6430

6430 = 2 x 5 x 643

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

LCM = 20653160 = 2 x 2 x 2 x 5 x 11 x 73 x 643

Step 4: Therefore, the least common multiple of 6424 and 6430 is 20653160.