Least Common Multiple of 6570 and 6571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6570 and 6571 the smallest integer that is 43171470 that is divisible by both numbers.

Least Common Multiple (LCM) of 6570 and 6571 is 43171470.

LCM(6570,6571) = 43171470

LCM of 6570 and 6571

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

LCM of:
and

Least Common Multiple of 6570 and 6571

LCM of 6570 and 6571 is 43171470

Least common multiple can be found by multiplying the highest exponent prime factors of 6570 and 6571. First we will calculate the prime factors of 6570 and 6571.

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

Prime Factorization of 6571


6571 6571
1

Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:

6571 = 65711

Now multiplying the highest exponent prime factors to calculate the LCM of 6570 and 6571.

LCM(6570,6571) = 21×32×51×731×65711
LCM(6570,6571) = 43171470

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

Factors of 6571

List of positive integer factors of 6571 that divides 6571 without a remainder.

1, 6571

Least Common Multiple of 6570 and 6571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6570 and 6571, than apply into the LCM equation.

GCF(6570,6571) = 1
LCM(6570,6571) = ( 6570 × 6571) / 1
LCM(6570,6571) = 43171470 / 1
LCM(6570,6571) = 43171470

Properties of LCM 6570 and 6571

(i) The LCM of 6571 and 6570 is associative

LCM of 6570 and 6571 = LCM of 6571 and 6570

Related Least Common Multiples of 6570

Related Least Common Multiples of 6571

Frequently Asked Questions on LCM of 6570 and 6571

1. What is the LCM of 6570 and 6571?

Answer: LCM of 6570 and 6571 is 43171470.

2. 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.

3. What are the Factors of 6571?

Answer: Factors of 6571 are 1, 6571. There are 2 integers that are factors of 6571. The greatest factor of 6571 is 6571.

4. How to Find the LCM of 6570 and 6571?

Answer:

Least Common Multiple of 6570 and 6571 = 43171470

Step 1: Find the prime factorization of 6570

6570 = 2 x 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 6571

6571 = 6571

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

LCM = 43171470 = 2 x 3 x 3 x 5 x 73 x 6571

Step 4: Therefore, the least common multiple of 6570 and 6571 is 43171470.