Least Common Multiple of 6429 and 6437

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 6437 the smallest integer that is 41383473 that is divisible by both numbers.

Least Common Multiple (LCM) of 6429 and 6437 is 41383473.

LCM(6429,6437) = 41383473

LCM of 6429 and 6437

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

LCM of:
and

Least Common Multiple of 6429 and 6437

LCM of 6429 and 6437 is 41383473

Least common multiple can be found by multiplying the highest exponent prime factors of 6429 and 6437. First we will calculate the prime factors of 6429 and 6437.

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 6437


41 6437
157 157
1

Prime factors of 6437 are 41,157. Prime factorization of 6437 in exponential form is:

6437 = 411×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6429 and 6437.

LCM(6429,6437) = 31×411×1571×21431
LCM(6429,6437) = 41383473

Factors of 6429

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

1, 3, 2143, 6429

Factors of 6437

List of positive integer factors of 6437 that divides 6437 without a remainder.

1, 41, 157, 6437

Least Common Multiple of 6429 and 6437 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 6437, than apply into the LCM equation.

GCF(6429,6437) = 1
LCM(6429,6437) = ( 6429 × 6437) / 1
LCM(6429,6437) = 41383473 / 1
LCM(6429,6437) = 41383473

Properties of LCM 6429 and 6437

(i) The LCM of 6437 and 6429 is associative

LCM of 6429 and 6437 = LCM of 6437 and 6429

Related Least Common Multiples of 6429

Related Least Common Multiples of 6437

Frequently Asked Questions on LCM of 6429 and 6437

1. What is the LCM of 6429 and 6437?

Answer: LCM of 6429 and 6437 is 41383473.

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 6437?

Answer: Factors of 6437 are 1, 41, 157, 6437. There are 4 integers that are factors of 6437. The greatest factor of 6437 is 6437.

4. How to Find the LCM of 6429 and 6437?

Answer:

Least Common Multiple of 6429 and 6437 = 41383473

Step 1: Find the prime factorization of 6429

6429 = 3 x 2143

Step 2: Find the prime factorization of 6437

6437 = 41 x 157

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

LCM = 41383473 = 3 x 41 x 157 x 2143

Step 4: Therefore, the least common multiple of 6429 and 6437 is 41383473.