Least Common Multiple of 6560 and 6567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6560 and 6567 the smallest integer that is 43079520 that is divisible by both numbers.

Least Common Multiple (LCM) of 6560 and 6567 is 43079520.

LCM(6560,6567) = 43079520

LCM of 6560 and 6567

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

LCM of:
and

Least Common Multiple of 6560 and 6567

LCM of 6560 and 6567 is 43079520

Least common multiple can be found by multiplying the highest exponent prime factors of 6560 and 6567. First we will calculate the prime factors of 6560 and 6567.

Prime Factorization of 6560


2 6560
2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 6560 are 2, 5,41. Prime factorization of 6560 in exponential form is:

6560 = 25×51×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6560 and 6567.

LCM(6560,6567) = 25×31×51×111×411×1991
LCM(6560,6567) = 43079520

Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560

Factors of 6567

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

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

Least Common Multiple of 6560 and 6567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6560 and 6567, than apply into the LCM equation.

GCF(6560,6567) = 1
LCM(6560,6567) = ( 6560 × 6567) / 1
LCM(6560,6567) = 43079520 / 1
LCM(6560,6567) = 43079520

Properties of LCM 6560 and 6567

(i) The LCM of 6567 and 6560 is associative

LCM of 6560 and 6567 = LCM of 6567 and 6560

Related Least Common Multiples of 6560

Related Least Common Multiples of 6567

Frequently Asked Questions on LCM of 6560 and 6567

1. What is the LCM of 6560 and 6567?

Answer: LCM of 6560 and 6567 is 43079520.

2. What are the Factors of 6560?

Answer: Factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560. There are 24 integers that are factors of 6560. The greatest factor of 6560 is 6560.

3. 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.

4. How to Find the LCM of 6560 and 6567?

Answer:

Least Common Multiple of 6560 and 6567 = 43079520

Step 1: Find the prime factorization of 6560

6560 = 2 x 2 x 2 x 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 6567

6567 = 3 x 11 x 199

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

LCM = 43079520 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 41 x 199

Step 4: Therefore, the least common multiple of 6560 and 6567 is 43079520.