Least Common Multiple of 6564 and 6570

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 6570 the smallest integer that is 7187580 that is divisible by both numbers.

Least Common Multiple (LCM) of 6564 and 6570 is 7187580.

LCM(6564,6570) = 7187580

LCM of 6564 and 6570

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

LCM of:
and

Least Common Multiple of 6564 and 6570

LCM of 6564 and 6570 is 7187580

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6570. First we will calculate the prime factors of 6564 and 6570.

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 6570


2 6570
3 3285
3 1095
5 365
73 73
1

Prime factors of 6570 are 2, 3, 5,73. Prime factorization of 6570 in exponential form is:

6570 = 21×32×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6570.

LCM(6564,6570) = 22×32×51×731×5471
LCM(6564,6570) = 7187580

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 6570

List of positive integer factors of 6570 that divides 6570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570

Least Common Multiple of 6564 and 6570 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 6570, than apply into the LCM equation.

GCF(6564,6570) = 6
LCM(6564,6570) = ( 6564 × 6570) / 6
LCM(6564,6570) = 43125480 / 6
LCM(6564,6570) = 7187580

Properties of LCM 6564 and 6570

(i) The LCM of 6570 and 6564 is associative

LCM of 6564 and 6570 = LCM of 6570 and 6564

Related Least Common Multiples of 6564

Related Least Common Multiples of 6570

Frequently Asked Questions on LCM of 6564 and 6570

1. What is the LCM of 6564 and 6570?

Answer: LCM of 6564 and 6570 is 7187580.

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 6570?

Answer: Factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570. There are 24 integers that are factors of 6570. The greatest factor of 6570 is 6570.

4. How to Find the LCM of 6564 and 6570?

Answer:

Least Common Multiple of 6564 and 6570 = 7187580

Step 1: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

Step 2: Find the prime factorization of 6570

6570 = 2 x 3 x 3 x 5 x 73

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

LCM = 7187580 = 2 x 2 x 3 x 3 x 5 x 73 x 547

Step 4: Therefore, the least common multiple of 6564 and 6570 is 7187580.