Least Common Multiple of 6548 and 6555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6548 and 6555 the smallest integer that is 42922140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6548 and 6555 is 42922140.

LCM(6548,6555) = 42922140

LCM of 6548 and 6555

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

LCM of:
and

Least Common Multiple of 6548 and 6555

LCM of 6548 and 6555 is 42922140

Least common multiple can be found by multiplying the highest exponent prime factors of 6548 and 6555. First we will calculate the prime factors of 6548 and 6555.

Prime Factorization of 6548


2 6548
2 3274
1637 1637
1

Prime factors of 6548 are 2,1637. Prime factorization of 6548 in exponential form is:

6548 = 22×16371

Prime Factorization of 6555


3 6555
5 2185
19 437
23 23
1

Prime factors of 6555 are 3, 5, 19,23. Prime factorization of 6555 in exponential form is:

6555 = 31×51×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6548 and 6555.

LCM(6548,6555) = 22×31×51×191×231×16371
LCM(6548,6555) = 42922140

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1, 2, 4, 1637, 3274, 6548

Factors of 6555

List of positive integer factors of 6555 that divides 6555 without a remainder.

1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555

Least Common Multiple of 6548 and 6555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6548 and 6555, than apply into the LCM equation.

GCF(6548,6555) = 1
LCM(6548,6555) = ( 6548 × 6555) / 1
LCM(6548,6555) = 42922140 / 1
LCM(6548,6555) = 42922140

Properties of LCM 6548 and 6555

(i) The LCM of 6555 and 6548 is associative

LCM of 6548 and 6555 = LCM of 6555 and 6548

Related Least Common Multiples of 6548

Related Least Common Multiples of 6555

Frequently Asked Questions on LCM of 6548 and 6555

1. What is the LCM of 6548 and 6555?

Answer: LCM of 6548 and 6555 is 42922140.

2. What are the Factors of 6548?

Answer: Factors of 6548 are 1, 2, 4, 1637, 3274, 6548. There are 6 integers that are factors of 6548. The greatest factor of 6548 is 6548.

3. What are the Factors of 6555?

Answer: Factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555. There are 16 integers that are factors of 6555. The greatest factor of 6555 is 6555.

4. How to Find the LCM of 6548 and 6555?

Answer:

Least Common Multiple of 6548 and 6555 = 42922140

Step 1: Find the prime factorization of 6548

6548 = 2 x 2 x 1637

Step 2: Find the prime factorization of 6555

6555 = 3 x 5 x 19 x 23

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

LCM = 42922140 = 2 x 2 x 3 x 5 x 19 x 23 x 1637

Step 4: Therefore, the least common multiple of 6548 and 6555 is 42922140.