Least Common Multiple of 6567 and 6572

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 6572 the smallest integer that is 43158324 that is divisible by both numbers.

Least Common Multiple (LCM) of 6567 and 6572 is 43158324.

LCM(6567,6572) = 43158324

LCM of 6567 and 6572

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

LCM of:
and

Least Common Multiple of 6567 and 6572

LCM of 6567 and 6572 is 43158324

Least common multiple can be found by multiplying the highest exponent prime factors of 6567 and 6572. First we will calculate the prime factors of 6567 and 6572.

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 6572


2 6572
2 3286
31 1643
53 53
1

Prime factors of 6572 are 2, 31,53. Prime factorization of 6572 in exponential form is:

6572 = 22×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6567 and 6572.

LCM(6567,6572) = 22×31×111×311×531×1991
LCM(6567,6572) = 43158324

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 6572

List of positive integer factors of 6572 that divides 6572 without a remainder.

1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572

Least Common Multiple of 6567 and 6572 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 6572, than apply into the LCM equation.

GCF(6567,6572) = 1
LCM(6567,6572) = ( 6567 × 6572) / 1
LCM(6567,6572) = 43158324 / 1
LCM(6567,6572) = 43158324

Properties of LCM 6567 and 6572

(i) The LCM of 6572 and 6567 is associative

LCM of 6567 and 6572 = LCM of 6572 and 6567

Related Least Common Multiples of 6567

Related Least Common Multiples of 6572

Frequently Asked Questions on LCM of 6567 and 6572

1. What is the LCM of 6567 and 6572?

Answer: LCM of 6567 and 6572 is 43158324.

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 6572?

Answer: Factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572. There are 12 integers that are factors of 6572. The greatest factor of 6572 is 6572.

4. How to Find the LCM of 6567 and 6572?

Answer:

Least Common Multiple of 6567 and 6572 = 43158324

Step 1: Find the prime factorization of 6567

6567 = 3 x 11 x 199

Step 2: Find the prime factorization of 6572

6572 = 2 x 2 x 31 x 53

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

LCM = 43158324 = 2 x 2 x 3 x 11 x 31 x 53 x 199

Step 4: Therefore, the least common multiple of 6567 and 6572 is 43158324.