Least Common Multiple of 6564 and 6572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6564 and 6572 the smallest integer that is 10784652 that is divisible by both numbers.

Least Common Multiple (LCM) of 6564 and 6572 is 10784652.

LCM(6564,6572) = 10784652

LCM of 6564 and 6572

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

LCM of:
and

Least Common Multiple of 6564 and 6572

LCM of 6564 and 6572 is 10784652

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6572. First we will calculate the prime factors of 6564 and 6572.

Prime Factorization of 6564


2 6564
2 3282
3 1641
547 547
1

Prime factors of 6564 are 2, 3,547. Prime factorization of 6564 in exponential form is:

6564 = 22×31×5471

Prime Factorization of 6572


2 6572
2 3286
31 1643
53 53
1

Prime factors of 6572 are 2, 31,53. Prime factorization of 6572 in exponential form is:

6572 = 22×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6572.

LCM(6564,6572) = 22×31×311×531×5471
LCM(6564,6572) = 10784652

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564

Factors of 6572

List of positive integer factors of 6572 that divides 6572 without a remainder.

1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572

Least Common Multiple of 6564 and 6572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6564 and 6572, than apply into the LCM equation.

GCF(6564,6572) = 4
LCM(6564,6572) = ( 6564 × 6572) / 4
LCM(6564,6572) = 43138608 / 4
LCM(6564,6572) = 10784652

Properties of LCM 6564 and 6572

(i) The LCM of 6572 and 6564 is associative

LCM of 6564 and 6572 = LCM of 6572 and 6564

Related Least Common Multiples of 6564

Related Least Common Multiples of 6572

Frequently Asked Questions on LCM of 6564 and 6572

1. What is the LCM of 6564 and 6572?

Answer: LCM of 6564 and 6572 is 10784652.

2. What are the Factors of 6564?

Answer: Factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564. There are 12 integers that are factors of 6564. The greatest factor of 6564 is 6564.

3. What are the Factors of 6572?

Answer: Factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572. There are 12 integers that are factors of 6572. The greatest factor of 6572 is 6572.

4. How to Find the LCM of 6564 and 6572?

Answer:

Least Common Multiple of 6564 and 6572 = 10784652

Step 1: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

Step 2: Find the prime factorization of 6572

6572 = 2 x 2 x 31 x 53

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

LCM = 10784652 = 2 x 2 x 3 x 31 x 53 x 547

Step 4: Therefore, the least common multiple of 6564 and 6572 is 10784652.