Least Common Multiple of 6567 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 6567 and 6571 the smallest integer that is 43151757 that is divisible by both numbers.

Least Common Multiple (LCM) of 6567 and 6571 is 43151757.

LCM(6567,6571) = 43151757

LCM of 6567 and 6571

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

LCM of:
and

Least Common Multiple of 6567 and 6571

LCM of 6567 and 6571 is 43151757

Least common multiple can be found by multiplying the highest exponent prime factors of 6567 and 6571. First we will calculate the prime factors of 6567 and 6571.

Prime Factorization of 6567


3 6567
11 2189
199 199
1

Prime factors of 6567 are 3, 11,199. Prime factorization of 6567 in exponential form is:

6567 = 31×111×1991

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 6567 and 6571.

LCM(6567,6571) = 31×111×1991×65711
LCM(6567,6571) = 43151757

Factors of 6567

List of positive integer factors of 6567 that divides 6567 without a remainder.

1, 3, 11, 33, 199, 597, 2189, 6567

Factors of 6571

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

1, 6571

Least Common Multiple of 6567 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 6567 and 6571, than apply into the LCM equation.

GCF(6567,6571) = 1
LCM(6567,6571) = ( 6567 × 6571) / 1
LCM(6567,6571) = 43151757 / 1
LCM(6567,6571) = 43151757

Properties of LCM 6567 and 6571

(i) The LCM of 6571 and 6567 is associative

LCM of 6567 and 6571 = LCM of 6571 and 6567

Related Least Common Multiples of 6567

Related Least Common Multiples of 6571

Frequently Asked Questions on LCM of 6567 and 6571

1. What is the LCM of 6567 and 6571?

Answer: LCM of 6567 and 6571 is 43151757.

2. What are the Factors of 6567?

Answer: Factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567. There are 8 integers that are factors of 6567. The greatest factor of 6567 is 6567.

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 6567 and 6571?

Answer:

Least Common Multiple of 6567 and 6571 = 43151757

Step 1: Find the prime factorization of 6567

6567 = 3 x 11 x 199

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 = 43151757 = 3 x 11 x 199 x 6571

Step 4: Therefore, the least common multiple of 6567 and 6571 is 43151757.