Least Common Multiple of 6567 and 6573

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 6573 the smallest integer that is 14388297 that is divisible by both numbers.

Least Common Multiple (LCM) of 6567 and 6573 is 14388297.

LCM(6567,6573) = 14388297

LCM of 6567 and 6573

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

LCM of:
and

Least Common Multiple of 6567 and 6573

LCM of 6567 and 6573 is 14388297

Least common multiple can be found by multiplying the highest exponent prime factors of 6567 and 6573. First we will calculate the prime factors of 6567 and 6573.

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 6573


3 6573
7 2191
313 313
1

Prime factors of 6573 are 3, 7,313. Prime factorization of 6573 in exponential form is:

6573 = 31×71×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 6567 and 6573.

LCM(6567,6573) = 31×71×111×1991×3131
LCM(6567,6573) = 14388297

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 6573

List of positive integer factors of 6573 that divides 6573 without a remainder.

1, 3, 7, 21, 313, 939, 2191, 6573

Least Common Multiple of 6567 and 6573 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 6573, than apply into the LCM equation.

GCF(6567,6573) = 3
LCM(6567,6573) = ( 6567 × 6573) / 3
LCM(6567,6573) = 43164891 / 3
LCM(6567,6573) = 14388297

Properties of LCM 6567 and 6573

(i) The LCM of 6573 and 6567 is associative

LCM of 6567 and 6573 = LCM of 6573 and 6567

Related Least Common Multiples of 6567

Related Least Common Multiples of 6573

Frequently Asked Questions on LCM of 6567 and 6573

1. What is the LCM of 6567 and 6573?

Answer: LCM of 6567 and 6573 is 14388297.

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 6573?

Answer: Factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573. There are 8 integers that are factors of 6573. The greatest factor of 6573 is 6573.

4. How to Find the LCM of 6567 and 6573?

Answer:

Least Common Multiple of 6567 and 6573 = 14388297

Step 1: Find the prime factorization of 6567

6567 = 3 x 11 x 199

Step 2: Find the prime factorization of 6573

6573 = 3 x 7 x 313

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

LCM = 14388297 = 3 x 7 x 11 x 199 x 313

Step 4: Therefore, the least common multiple of 6567 and 6573 is 14388297.