Least Common Multiple of 6537 and 6544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6537 and 6544 the smallest integer that is 42778128 that is divisible by both numbers.

Least Common Multiple (LCM) of 6537 and 6544 is 42778128.

LCM(6537,6544) = 42778128

LCM of 6537 and 6544

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

LCM of:
and

Least Common Multiple of 6537 and 6544

LCM of 6537 and 6544 is 42778128

Least common multiple can be found by multiplying the highest exponent prime factors of 6537 and 6544. First we will calculate the prime factors of 6537 and 6544.

Prime Factorization of 6537


3 6537
2179 2179
1

Prime factors of 6537 are 3,2179. Prime factorization of 6537 in exponential form is:

6537 = 31×21791

Prime Factorization of 6544


2 6544
2 3272
2 1636
2 818
409 409
1

Prime factors of 6544 are 2,409. Prime factorization of 6544 in exponential form is:

6544 = 24×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 6537 and 6544.

LCM(6537,6544) = 24×31×4091×21791
LCM(6537,6544) = 42778128

Factors of 6537

List of positive integer factors of 6537 that divides 6537 without a remainder.

1, 3, 2179, 6537

Factors of 6544

List of positive integer factors of 6544 that divides 6544 without a remainder.

1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544

Least Common Multiple of 6537 and 6544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6537 and 6544, than apply into the LCM equation.

GCF(6537,6544) = 1
LCM(6537,6544) = ( 6537 × 6544) / 1
LCM(6537,6544) = 42778128 / 1
LCM(6537,6544) = 42778128

Properties of LCM 6537 and 6544

(i) The LCM of 6544 and 6537 is associative

LCM of 6537 and 6544 = LCM of 6544 and 6537

Related Least Common Multiples of 6537

Related Least Common Multiples of 6544

Frequently Asked Questions on LCM of 6537 and 6544

1. What is the LCM of 6537 and 6544?

Answer: LCM of 6537 and 6544 is 42778128.

2. What are the Factors of 6537?

Answer: Factors of 6537 are 1, 3, 2179, 6537. There are 4 integers that are factors of 6537. The greatest factor of 6537 is 6537.

3. What are the Factors of 6544?

Answer: Factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544. There are 10 integers that are factors of 6544. The greatest factor of 6544 is 6544.

4. How to Find the LCM of 6537 and 6544?

Answer:

Least Common Multiple of 6537 and 6544 = 42778128

Step 1: Find the prime factorization of 6537

6537 = 3 x 2179

Step 2: Find the prime factorization of 6544

6544 = 2 x 2 x 2 x 2 x 409

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

LCM = 42778128 = 2 x 2 x 2 x 2 x 3 x 409 x 2179

Step 4: Therefore, the least common multiple of 6537 and 6544 is 42778128.