Least Common Multiple of 6567 and 6575

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 6575 the smallest integer that is 43178025 that is divisible by both numbers.

Least Common Multiple (LCM) of 6567 and 6575 is 43178025.

LCM(6567,6575) = 43178025

LCM of 6567 and 6575

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

LCM of:
and

Least Common Multiple of 6567 and 6575

LCM of 6567 and 6575 is 43178025

Least common multiple can be found by multiplying the highest exponent prime factors of 6567 and 6575. First we will calculate the prime factors of 6567 and 6575.

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 6575


5 6575
5 1315
263 263
1

Prime factors of 6575 are 5,263. Prime factorization of 6575 in exponential form is:

6575 = 52×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 6567 and 6575.

LCM(6567,6575) = 31×52×111×1991×2631
LCM(6567,6575) = 43178025

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 6575

List of positive integer factors of 6575 that divides 6575 without a remainder.

1, 5, 25, 263, 1315, 6575

Least Common Multiple of 6567 and 6575 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 6575, than apply into the LCM equation.

GCF(6567,6575) = 1
LCM(6567,6575) = ( 6567 × 6575) / 1
LCM(6567,6575) = 43178025 / 1
LCM(6567,6575) = 43178025

Properties of LCM 6567 and 6575

(i) The LCM of 6575 and 6567 is associative

LCM of 6567 and 6575 = LCM of 6575 and 6567

Related Least Common Multiples of 6567

Related Least Common Multiples of 6575

Frequently Asked Questions on LCM of 6567 and 6575

1. What is the LCM of 6567 and 6575?

Answer: LCM of 6567 and 6575 is 43178025.

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 6575?

Answer: Factors of 6575 are 1, 5, 25, 263, 1315, 6575. There are 6 integers that are factors of 6575. The greatest factor of 6575 is 6575.

4. How to Find the LCM of 6567 and 6575?

Answer:

Least Common Multiple of 6567 and 6575 = 43178025

Step 1: Find the prime factorization of 6567

6567 = 3 x 11 x 199

Step 2: Find the prime factorization of 6575

6575 = 5 x 5 x 263

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

LCM = 43178025 = 3 x 5 x 5 x 11 x 199 x 263

Step 4: Therefore, the least common multiple of 6567 and 6575 is 43178025.