Least Common Multiple of 6423 and 6427

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 6427 the smallest integer that is 41280621 that is divisible by both numbers.

Least Common Multiple (LCM) of 6423 and 6427 is 41280621.

LCM(6423,6427) = 41280621

LCM of 6423 and 6427

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

LCM of:
and

Least Common Multiple of 6423 and 6427

LCM of 6423 and 6427 is 41280621

Least common multiple can be found by multiplying the highest exponent prime factors of 6423 and 6427. First we will calculate the prime factors of 6423 and 6427.

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 6427


6427 6427
1

Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:

6427 = 64271

Now multiplying the highest exponent prime factors to calculate the LCM of 6423 and 6427.

LCM(6423,6427) = 31×21411×64271
LCM(6423,6427) = 41280621

Factors of 6423

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

1, 3, 2141, 6423

Factors of 6427

List of positive integer factors of 6427 that divides 6427 without a remainder.

1, 6427

Least Common Multiple of 6423 and 6427 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 6427, than apply into the LCM equation.

GCF(6423,6427) = 1
LCM(6423,6427) = ( 6423 × 6427) / 1
LCM(6423,6427) = 41280621 / 1
LCM(6423,6427) = 41280621

Properties of LCM 6423 and 6427

(i) The LCM of 6427 and 6423 is associative

LCM of 6423 and 6427 = LCM of 6427 and 6423

Related Least Common Multiples of 6423

Related Least Common Multiples of 6427

Frequently Asked Questions on LCM of 6423 and 6427

1. What is the LCM of 6423 and 6427?

Answer: LCM of 6423 and 6427 is 41280621.

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 6427?

Answer: Factors of 6427 are 1, 6427. There are 2 integers that are factors of 6427. The greatest factor of 6427 is 6427.

4. How to Find the LCM of 6423 and 6427?

Answer:

Least Common Multiple of 6423 and 6427 = 41280621

Step 1: Find the prime factorization of 6423

6423 = 3 x 2141

Step 2: Find the prime factorization of 6427

6427 = 6427

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

LCM = 41280621 = 3 x 2141 x 6427

Step 4: Therefore, the least common multiple of 6423 and 6427 is 41280621.