Least Common Multiple of 561 and 567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 561 and 567 the smallest integer that is 106029 that is divisible by both numbers.

Least Common Multiple (LCM) of 561 and 567 is 106029.

LCM(561,567) = 106029

LCM of 561 and 567

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

LCM of:
and

Least Common Multiple of 561 and 567

LCM of 561 and 567 is 106029

Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 567. First we will calculate the prime factors of 561 and 567.

Prime Factorization of 561


3 561
11 187
17 17
1

Prime factors of 561 are 3, 11,17. Prime factorization of 561 in exponential form is:

561 = 31×111×171

Prime Factorization of 567


3 567
3 189
3 63
3 21
7 7
1

Prime factors of 567 are 3,7. Prime factorization of 567 in exponential form is:

567 = 34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 567.

LCM(561,567) = 34×71×111×171
LCM(561,567) = 106029

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Least Common Multiple of 561 and 567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 561 and 567, than apply into the LCM equation.

GCF(561,567) = 3
LCM(561,567) = ( 561 × 567) / 3
LCM(561,567) = 318087 / 3
LCM(561,567) = 106029

Properties of LCM 561 and 567

(i) The LCM of 567 and 561 is associative

LCM of 561 and 567 = LCM of 567 and 561

Related Least Common Multiples of 561

Related Least Common Multiples of 567

Frequently Asked Questions on LCM of 561 and 567

1. What is the LCM of 561 and 567?

Answer: LCM of 561 and 567 is 106029.

2. What are the Factors of 561?

Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.

3. What are the Factors of 567?

Answer: Factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. There are 10 integers that are factors of 567. The greatest factor of 567 is 567.

4. How to Find the LCM of 561 and 567?

Answer:

Least Common Multiple of 561 and 567 = 106029

Step 1: Find the prime factorization of 561

561 = 3 x 11 x 17

Step 2: Find the prime factorization of 567

567 = 3 x 3 x 3 x 3 x 7

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

LCM = 106029 = 3 x 3 x 3 x 3 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 561 and 567 is 106029.