Least Common Multiple of 6437 and 6444

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 6444 the smallest integer that is 41480028 that is divisible by both numbers.

Least Common Multiple (LCM) of 6437 and 6444 is 41480028.

LCM(6437,6444) = 41480028

LCM of 6437 and 6444

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

LCM of:
and

Least Common Multiple of 6437 and 6444

LCM of 6437 and 6444 is 41480028

Least common multiple can be found by multiplying the highest exponent prime factors of 6437 and 6444. First we will calculate the prime factors of 6437 and 6444.

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 6444


2 6444
2 3222
3 1611
3 537
179 179
1

Prime factors of 6444 are 2, 3,179. Prime factorization of 6444 in exponential form is:

6444 = 22×32×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6437 and 6444.

LCM(6437,6444) = 22×32×411×1571×1791
LCM(6437,6444) = 41480028

Factors of 6437

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

1, 41, 157, 6437

Factors of 6444

List of positive integer factors of 6444 that divides 6444 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444

Least Common Multiple of 6437 and 6444 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 6444, than apply into the LCM equation.

GCF(6437,6444) = 1
LCM(6437,6444) = ( 6437 × 6444) / 1
LCM(6437,6444) = 41480028 / 1
LCM(6437,6444) = 41480028

Properties of LCM 6437 and 6444

(i) The LCM of 6444 and 6437 is associative

LCM of 6437 and 6444 = LCM of 6444 and 6437

Related Least Common Multiples of 6437

Related Least Common Multiples of 6444

Frequently Asked Questions on LCM of 6437 and 6444

1. What is the LCM of 6437 and 6444?

Answer: LCM of 6437 and 6444 is 41480028.

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 6444?

Answer: Factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444. There are 18 integers that are factors of 6444. The greatest factor of 6444 is 6444.

4. How to Find the LCM of 6437 and 6444?

Answer:

Least Common Multiple of 6437 and 6444 = 41480028

Step 1: Find the prime factorization of 6437

6437 = 41 x 157

Step 2: Find the prime factorization of 6444

6444 = 2 x 2 x 3 x 3 x 179

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

LCM = 41480028 = 2 x 2 x 3 x 3 x 41 x 157 x 179

Step 4: Therefore, the least common multiple of 6437 and 6444 is 41480028.