Least Common Multiple of 561 and 565

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 565 the smallest integer that is 316965 that is divisible by both numbers.

Least Common Multiple (LCM) of 561 and 565 is 316965.

LCM(561,565) = 316965

LCM of 561 and 565

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

LCM of:
and

Least Common Multiple of 561 and 565

LCM of 561 and 565 is 316965

Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 565. First we will calculate the prime factors of 561 and 565.

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 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 565.

LCM(561,565) = 31×51×111×171×1131
LCM(561,565) = 316965

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 565

List of positive integer factors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Least Common Multiple of 561 and 565 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 565, than apply into the LCM equation.

GCF(561,565) = 1
LCM(561,565) = ( 561 × 565) / 1
LCM(561,565) = 316965 / 1
LCM(561,565) = 316965

Properties of LCM 561 and 565

(i) The LCM of 565 and 561 is associative

LCM of 561 and 565 = LCM of 565 and 561

Related Least Common Multiples of 561

Related Least Common Multiples of 565

Frequently Asked Questions on LCM of 561 and 565

1. What is the LCM of 561 and 565?

Answer: LCM of 561 and 565 is 316965.

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 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

4. How to Find the LCM of 561 and 565?

Answer:

Least Common Multiple of 561 and 565 = 316965

Step 1: Find the prime factorization of 561

561 = 3 x 11 x 17

Step 2: Find the prime factorization of 565

565 = 5 x 113

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

LCM = 316965 = 3 x 5 x 11 x 17 x 113

Step 4: Therefore, the least common multiple of 561 and 565 is 316965.