Least Common Multiple of 6423 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 6423 and 6430 the smallest integer that is 41299890 that is divisible by both numbers.

Least Common Multiple (LCM) of 6423 and 6430 is 41299890.

LCM(6423,6430) = 41299890

LCM of 6423 and 6430

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

LCM of:
and

Least Common Multiple of 6423 and 6430

LCM of 6423 and 6430 is 41299890

Least common multiple can be found by multiplying the highest exponent prime factors of 6423 and 6430. First we will calculate the prime factors of 6423 and 6430.

Prime Factorization of 6423


3 6423
2141 2141
1

Prime factors of 6423 are 3,2141. Prime factorization of 6423 in exponential form is:

6423 = 31×21411

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 6423 and 6430.

LCM(6423,6430) = 21×31×51×6431×21411
LCM(6423,6430) = 41299890

Factors of 6423

List of positive integer factors of 6423 that divides 6423 without a remainder.

1, 3, 2141, 6423

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 6423 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 6423 and 6430, than apply into the LCM equation.

GCF(6423,6430) = 1
LCM(6423,6430) = ( 6423 × 6430) / 1
LCM(6423,6430) = 41299890 / 1
LCM(6423,6430) = 41299890

Properties of LCM 6423 and 6430

(i) The LCM of 6430 and 6423 is associative

LCM of 6423 and 6430 = LCM of 6430 and 6423

Related Least Common Multiples of 6423

Related Least Common Multiples of 6430

Frequently Asked Questions on LCM of 6423 and 6430

1. What is the LCM of 6423 and 6430?

Answer: LCM of 6423 and 6430 is 41299890.

2. What are the Factors of 6423?

Answer: Factors of 6423 are 1, 3, 2141, 6423. There are 4 integers that are factors of 6423. The greatest factor of 6423 is 6423.

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 6423 and 6430?

Answer:

Least Common Multiple of 6423 and 6430 = 41299890

Step 1: Find the prime factorization of 6423

6423 = 3 x 2141

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 = 41299890 = 2 x 3 x 5 x 643 x 2141

Step 4: Therefore, the least common multiple of 6423 and 6430 is 41299890.