Least Common Multiple of 6421 and 6429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6421 and 6429 the smallest integer that is 41280609 that is divisible by both numbers.

Least Common Multiple (LCM) of 6421 and 6429 is 41280609.

LCM(6421,6429) = 41280609

LCM of 6421 and 6429

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

LCM of:
and

Least Common Multiple of 6421 and 6429

LCM of 6421 and 6429 is 41280609

Least common multiple can be found by multiplying the highest exponent prime factors of 6421 and 6429. First we will calculate the prime factors of 6421 and 6429.

Prime Factorization of 6421


6421 6421
1

Prime factors of 6421 are 6421. Prime factorization of 6421 in exponential form is:

6421 = 64211

Prime Factorization of 6429


3 6429
2143 2143
1

Prime factors of 6429 are 3,2143. Prime factorization of 6429 in exponential form is:

6429 = 31×21431

Now multiplying the highest exponent prime factors to calculate the LCM of 6421 and 6429.

LCM(6421,6429) = 31×21431×64211
LCM(6421,6429) = 41280609

Factors of 6421

List of positive integer factors of 6421 that divides 6421 without a remainder.

1, 6421

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1, 3, 2143, 6429

Least Common Multiple of 6421 and 6429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6421 and 6429, than apply into the LCM equation.

GCF(6421,6429) = 1
LCM(6421,6429) = ( 6421 × 6429) / 1
LCM(6421,6429) = 41280609 / 1
LCM(6421,6429) = 41280609

Properties of LCM 6421 and 6429

(i) The LCM of 6429 and 6421 is associative

LCM of 6421 and 6429 = LCM of 6429 and 6421

Related Least Common Multiples of 6421

Related Least Common Multiples of 6429

Frequently Asked Questions on LCM of 6421 and 6429

1. What is the LCM of 6421 and 6429?

Answer: LCM of 6421 and 6429 is 41280609.

2. What are the Factors of 6421?

Answer: Factors of 6421 are 1, 6421. There are 2 integers that are factors of 6421. The greatest factor of 6421 is 6421.

3. What are the Factors of 6429?

Answer: Factors of 6429 are 1, 3, 2143, 6429. There are 4 integers that are factors of 6429. The greatest factor of 6429 is 6429.

4. How to Find the LCM of 6421 and 6429?

Answer:

Least Common Multiple of 6421 and 6429 = 41280609

Step 1: Find the prime factorization of 6421

6421 = 6421

Step 2: Find the prime factorization of 6429

6429 = 3 x 2143

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

LCM = 41280609 = 3 x 2143 x 6421

Step 4: Therefore, the least common multiple of 6421 and 6429 is 41280609.