Least Common Multiple of 6437 and 6442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6437 and 6442 the smallest integer that is 41467154 that is divisible by both numbers.

Least Common Multiple (LCM) of 6437 and 6442 is 41467154.

LCM(6437,6442) = 41467154

LCM of 6437 and 6442

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

LCM of:
and

Least Common Multiple of 6437 and 6442

LCM of 6437 and 6442 is 41467154

Least common multiple can be found by multiplying the highest exponent prime factors of 6437 and 6442. First we will calculate the prime factors of 6437 and 6442.

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

Prime Factorization of 6442


2 6442
3221 3221
1

Prime factors of 6442 are 2,3221. Prime factorization of 6442 in exponential form is:

6442 = 21×32211

Now multiplying the highest exponent prime factors to calculate the LCM of 6437 and 6442.

LCM(6437,6442) = 21×411×1571×32211
LCM(6437,6442) = 41467154

Factors of 6437

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

1, 41, 157, 6437

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1, 2, 3221, 6442

Least Common Multiple of 6437 and 6442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6437 and 6442, than apply into the LCM equation.

GCF(6437,6442) = 1
LCM(6437,6442) = ( 6437 × 6442) / 1
LCM(6437,6442) = 41467154 / 1
LCM(6437,6442) = 41467154

Properties of LCM 6437 and 6442

(i) The LCM of 6442 and 6437 is associative

LCM of 6437 and 6442 = LCM of 6442 and 6437

Related Least Common Multiples of 6437

Related Least Common Multiples of 6442

Frequently Asked Questions on LCM of 6437 and 6442

1. What is the LCM of 6437 and 6442?

Answer: LCM of 6437 and 6442 is 41467154.

2. 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.

3. What are the Factors of 6442?

Answer: Factors of 6442 are 1, 2, 3221, 6442. There are 4 integers that are factors of 6442. The greatest factor of 6442 is 6442.

4. How to Find the LCM of 6437 and 6442?

Answer:

Least Common Multiple of 6437 and 6442 = 41467154

Step 1: Find the prime factorization of 6437

6437 = 41 x 157

Step 2: Find the prime factorization of 6442

6442 = 2 x 3221

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

LCM = 41467154 = 2 x 41 x 157 x 3221

Step 4: Therefore, the least common multiple of 6437 and 6442 is 41467154.