Least Common Multiple of 6429 and 6434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6429 and 6434 the smallest integer that is 41364186 that is divisible by both numbers.

Least Common Multiple (LCM) of 6429 and 6434 is 41364186.

LCM(6429,6434) = 41364186

LCM of 6429 and 6434

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

LCM of:
and

Least Common Multiple of 6429 and 6434

LCM of 6429 and 6434 is 41364186

Least common multiple can be found by multiplying the highest exponent prime factors of 6429 and 6434. First we will calculate the prime factors of 6429 and 6434.

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

Prime Factorization of 6434


2 6434
3217 3217
1

Prime factors of 6434 are 2,3217. Prime factorization of 6434 in exponential form is:

6434 = 21×32171

Now multiplying the highest exponent prime factors to calculate the LCM of 6429 and 6434.

LCM(6429,6434) = 21×31×21431×32171
LCM(6429,6434) = 41364186

Factors of 6429

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

1, 3, 2143, 6429

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1, 2, 3217, 6434

Least Common Multiple of 6429 and 6434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6429 and 6434, than apply into the LCM equation.

GCF(6429,6434) = 1
LCM(6429,6434) = ( 6429 × 6434) / 1
LCM(6429,6434) = 41364186 / 1
LCM(6429,6434) = 41364186

Properties of LCM 6429 and 6434

(i) The LCM of 6434 and 6429 is associative

LCM of 6429 and 6434 = LCM of 6434 and 6429

Related Least Common Multiples of 6429

Related Least Common Multiples of 6434

Frequently Asked Questions on LCM of 6429 and 6434

1. What is the LCM of 6429 and 6434?

Answer: LCM of 6429 and 6434 is 41364186.

2. 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.

3. What are the Factors of 6434?

Answer: Factors of 6434 are 1, 2, 3217, 6434. There are 4 integers that are factors of 6434. The greatest factor of 6434 is 6434.

4. How to Find the LCM of 6429 and 6434?

Answer:

Least Common Multiple of 6429 and 6434 = 41364186

Step 1: Find the prime factorization of 6429

6429 = 3 x 2143

Step 2: Find the prime factorization of 6434

6434 = 2 x 3217

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

LCM = 41364186 = 2 x 3 x 2143 x 3217

Step 4: Therefore, the least common multiple of 6429 and 6434 is 41364186.