Least Common Multiple of 3562 and 3565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3562 and 3565 the smallest integer that is 12698530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3562 and 3565 is 12698530.

LCM(3562,3565) = 12698530

LCM of 3562 and 3565

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

LCM of:
and

Least Common Multiple of 3562 and 3565

LCM of 3562 and 3565 is 12698530

Least common multiple can be found by multiplying the highest exponent prime factors of 3562 and 3565. First we will calculate the prime factors of 3562 and 3565.

Prime Factorization of 3562


2 3562
13 1781
137 137
1

Prime factors of 3562 are 2, 13,137. Prime factorization of 3562 in exponential form is:

3562 = 21×131×1371

Prime Factorization of 3565


5 3565
23 713
31 31
1

Prime factors of 3565 are 5, 23,31. Prime factorization of 3565 in exponential form is:

3565 = 51×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3562 and 3565.

LCM(3562,3565) = 21×51×131×231×311×1371
LCM(3562,3565) = 12698530

Factors of 3562

List of positive integer factors of 3562 that divides 3562 without a remainder.

1, 2, 13, 26, 137, 274, 1781, 3562

Factors of 3565

List of positive integer factors of 3565 that divides 3565 without a remainder.

1, 5, 23, 31, 115, 155, 713, 3565

Least Common Multiple of 3562 and 3565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3562 and 3565, than apply into the LCM equation.

GCF(3562,3565) = 1
LCM(3562,3565) = ( 3562 × 3565) / 1
LCM(3562,3565) = 12698530 / 1
LCM(3562,3565) = 12698530

Properties of LCM 3562 and 3565

(i) The LCM of 3565 and 3562 is associative

LCM of 3562 and 3565 = LCM of 3565 and 3562

Related Least Common Multiples of 3562

Related Least Common Multiples of 3565

Frequently Asked Questions on LCM of 3562 and 3565

1. What is the LCM of 3562 and 3565?

Answer: LCM of 3562 and 3565 is 12698530.

2. What are the Factors of 3562?

Answer: Factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562. There are 8 integers that are factors of 3562. The greatest factor of 3562 is 3562.

3. What are the Factors of 3565?

Answer: Factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565. There are 8 integers that are factors of 3565. The greatest factor of 3565 is 3565.

4. How to Find the LCM of 3562 and 3565?

Answer:

Least Common Multiple of 3562 and 3565 = 12698530

Step 1: Find the prime factorization of 3562

3562 = 2 x 13 x 137

Step 2: Find the prime factorization of 3565

3565 = 5 x 23 x 31

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

LCM = 12698530 = 2 x 5 x 13 x 23 x 31 x 137

Step 4: Therefore, the least common multiple of 3562 and 3565 is 12698530.