Least Common Multiple of 560 and 562

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 562 the smallest integer that is 157360 that is divisible by both numbers.

Least Common Multiple (LCM) of 560 and 562 is 157360.

LCM(560,562) = 157360

LCM of 560 and 562

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

LCM of:
and

Least Common Multiple of 560 and 562

LCM of 560 and 562 is 157360

Least common multiple can be found by multiplying the highest exponent prime factors of 560 and 562. First we will calculate the prime factors of 560 and 562.

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 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 560 and 562.

LCM(560,562) = 24×51×71×2811
LCM(560,562) = 157360

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 562

List of positive integer factors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Least Common Multiple of 560 and 562 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 562, than apply into the LCM equation.

GCF(560,562) = 2
LCM(560,562) = ( 560 × 562) / 2
LCM(560,562) = 314720 / 2
LCM(560,562) = 157360

Properties of LCM 560 and 562

(i) The LCM of 562 and 560 is associative

LCM of 560 and 562 = LCM of 562 and 560

Related Least Common Multiples of 560

Related Least Common Multiples of 562

Frequently Asked Questions on LCM of 560 and 562

1. What is the LCM of 560 and 562?

Answer: LCM of 560 and 562 is 157360.

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 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

4. How to Find the LCM of 560 and 562?

Answer:

Least Common Multiple of 560 and 562 = 157360

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 562

562 = 2 x 281

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

LCM = 157360 = 2 x 2 x 2 x 2 x 5 x 7 x 281

Step 4: Therefore, the least common multiple of 560 and 562 is 157360.