Least Common Multiple of 6567 and 6574

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 6574 the smallest integer that is 43171458 that is divisible by both numbers.

Least Common Multiple (LCM) of 6567 and 6574 is 43171458.

LCM(6567,6574) = 43171458

LCM of 6567 and 6574

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

LCM of:
and

Least Common Multiple of 6567 and 6574

LCM of 6567 and 6574 is 43171458

Least common multiple can be found by multiplying the highest exponent prime factors of 6567 and 6574. First we will calculate the prime factors of 6567 and 6574.

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 6574


2 6574
19 3287
173 173
1

Prime factors of 6574 are 2, 19,173. Prime factorization of 6574 in exponential form is:

6574 = 21×191×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6567 and 6574.

LCM(6567,6574) = 21×31×111×191×1731×1991
LCM(6567,6574) = 43171458

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 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1, 2, 19, 38, 173, 346, 3287, 6574

Least Common Multiple of 6567 and 6574 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 6574, than apply into the LCM equation.

GCF(6567,6574) = 1
LCM(6567,6574) = ( 6567 × 6574) / 1
LCM(6567,6574) = 43171458 / 1
LCM(6567,6574) = 43171458

Properties of LCM 6567 and 6574

(i) The LCM of 6574 and 6567 is associative

LCM of 6567 and 6574 = LCM of 6574 and 6567

Related Least Common Multiples of 6567

Related Least Common Multiples of 6574

Frequently Asked Questions on LCM of 6567 and 6574

1. What is the LCM of 6567 and 6574?

Answer: LCM of 6567 and 6574 is 43171458.

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 6574?

Answer: Factors of 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574. There are 8 integers that are factors of 6574. The greatest factor of 6574 is 6574.

4. How to Find the LCM of 6567 and 6574?

Answer:

Least Common Multiple of 6567 and 6574 = 43171458

Step 1: Find the prime factorization of 6567

6567 = 3 x 11 x 199

Step 2: Find the prime factorization of 6574

6574 = 2 x 19 x 173

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

LCM = 43171458 = 2 x 3 x 11 x 19 x 173 x 199

Step 4: Therefore, the least common multiple of 6567 and 6574 is 43171458.