Least Common Multiple of 560 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 560 and 565 the smallest integer that is 63280 that is divisible by both numbers.

Least Common Multiple (LCM) of 560 and 565 is 63280.

LCM(560,565) = 63280

LCM of 560 and 565

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

LCM of:
and

Least Common Multiple of 560 and 565

LCM of 560 and 565 is 63280

Least common multiple can be found by multiplying the highest exponent prime factors of 560 and 565. First we will calculate the prime factors of 560 and 565.

Prime Factorization of 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2, 5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

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 560 and 565.

LCM(560,565) = 24×51×71×1131
LCM(560,565) = 63280

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Factors of 565

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

1, 5, 113, 565

Least Common Multiple of 560 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 560 and 565, than apply into the LCM equation.

GCF(560,565) = 5
LCM(560,565) = ( 560 × 565) / 5
LCM(560,565) = 316400 / 5
LCM(560,565) = 63280

Properties of LCM 560 and 565

(i) The LCM of 565 and 560 is associative

LCM of 560 and 565 = LCM of 565 and 560

Related Least Common Multiples of 560

Related Least Common Multiples of 565

Frequently Asked Questions on LCM of 560 and 565

1. What is the LCM of 560 and 565?

Answer: LCM of 560 and 565 is 63280.

2. What are the Factors of 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

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 560 and 565?

Answer:

Least Common Multiple of 560 and 565 = 63280

Step 1: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 x 7

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 = 63280 = 2 x 2 x 2 x 2 x 5 x 7 x 113

Step 4: Therefore, the least common multiple of 560 and 565 is 63280.